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St. Rock College of Early Education, Korogwe WORKSHOP ON TEACHING SCIENCE AND MATHEMATICS 29 th to 31 th January 2018 Professor emeritus Peter van Marion Norwegian University of Science and Technology

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Page 1: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

St. Rock College of Early Education, Korogwe

WORKSHOP ON TEACHING SCIENCE AND MATHEMATICS

29th to 31th January 2018

Professor emeritus Peter van Marion

Norwegian University of Science and Technology

Page 2: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

I think it will get heavier

I think it will stay the same weight

Will the fizzy drink get lighter now that I have

left the top off the bottle?

Page 3: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

The four coins problem

? ? ? ?

You’re creating a new coin system for your country.

You must use only four coin values and you must be able to create the values

1 through 10 using one coin at a minimum and two coins maximum.

Page 4: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

The four coins problem

? ? ? ?

You’re creating a new coin system for your country.

You must use only four coin values and you must be able to create the values

1 through 10 using one coin at a minimum and two coins maximum.

Example:

What happens if your four coins have values 1, 2, 3 and 4?

1 2 3 4

Page 5: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

?

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… It is difficult to pass in science subjects at our school – this is because of the difficult learning environment. First of all science subjects are too difficult to understand because they cover many concepts, apart from that, science books are lacking, no science facilities, but also many of our science teachers are too fast in their teaching and don’t care even if we ask questions. Student at secondary school in Morogoro

From: Mabula, N. (2012). Promoting science subjects choices for secondary school students in Tanzania: Challanges and opportunities. Academic Research International, 3 (3): 234-245

Page 7: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

eduka.no

Page 8: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

Classroom activity Never Nearly every

lesson

Copying notes from the teacher 2 % 80 %

Conducting experiments 78 % 3 %

Opportunity to express ideas 34 % 6 %

Class discussion 13 % 3 %

Group work 11 % 35 %

Outdoor science activities 56 % 11 %

Teacher supervising classroom activities

27 % 10 %

Teachers’ giving feedback 10 % 11 %

Listening to explanations from teacher 0,5 % 79 %

Mabula, N. (2012). Promoting science subjects choices for secondary school students in Tanzania: Challanges and opportunities. Academic Research International, 3 (3): 234-245

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The curriculum Discussions about the Tanzanian math curricullum: 1. Learner-centred approach vs content-centred approach

2. Language of instruction

Kajoro, P. (2015). Language Supportive Mathematics Textbooks and Pedagogy with less overloaded curriculum for sustainable mathematical literacy in Tanzania. Paper presented at 13th International Conference on Education and Development, Sept 15-17 2015. UKFIET, University of Oxford

Page 10: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

Why mathematics?

Mathematics Education in Tanzania

Kitta, S. (2004). Enhancing Mathematics Teachers’ Pedagogical Content knowledge and skills in Tanzania. PhD Thesis, University of Twente, Enschede, ISBN 90 365 2014 2 Bramall, S. & White, J. (2000). Mathematics. Pp 28-33 in: Will the New National Curricullum live up to its aims? Impact 2000 (6)

Page 11: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

Kitta, S. (2004). Enhancing Mathematics Teachers’ Pedagogical Content knowledge and skills in Tanzania. PhD Thesis, University of Twente, Enschede, ISBN 90 365 2014 2 Bramall, S. & White, J. (2000). Mathematics. Pp 28-33 in: Will the New National Curricullum live up to its aims? Impact 2000 (6)

The next question: How much mathematics do we need to learn? …. how far should mathematics - in some more advanced form – continue to be a compulsory subject in the later years of secondary education?

Page 12: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

How much mathematics do we need to learn? A critical reflection …

Bramall, S. & White, J. (2000). Mathematics, pp 28-33 in: Will the New National Curricullum live up to its aims? Impact 2000 (6).

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Why should all learn Math?

Bramall, S. & White, J. (2000). Mathematics, pp 28-33 in: Will the New National Curricullum live up to its aims? Impact 2000 (6).

It may be good for all to know something about mathematics and science, to make informed choices and to appreciate human achievements. But if we have a more realistic notion of these, it is not at all clear that much more mathematical understanding is necessary than computation and elementary statistics.

Mathematics is a subject with mystique, with charisma. Policymakers take it as read that pupils cannot have enough of it. But we should no longer assume unreflectively that eleven years of compulsory maths is good for the soul.

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Why should all learn Math and Science?

«Many parents and educators believe that students should be taught as they were taught, through memorizing facts, formulas, and procedures and then practicing skills over and over again.»

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The «art» of Teaching Mathematics/Science

• Teaching Methods

• Math/Science Education

• Pedagogical Content Knowledge

• Mathematics/Science Didactics /Didaktik

• What, why and how?

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The «art» of Teaching Mathematics/Science Pedagical knowledge and skills Subject knowledge Commitment Creativity

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Basic principles • Learning is an active process

• Collaborative learning leads to deeper learning

• Learners learn in various ways

• Learners need to be motivated for learning

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Learners learn in different ways

There are many roads to learning. Learners bring different talents and preferences for learning to school. Learners need opportunities to show their talents and learn in ways that work for them. Then they can be pushed to learn in new ways that do not come so easily.

Math and science teachers must use multiple teaching methods and modes of instruction

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Learning styles and teaching styles

* Tanner, K. and Allen, D. (2004). Approaches to Biology Teaching and Learning: Learning Styles and the Problem of Instructional Selection. Engaging all students in Science Courses. Cell Biology Education, 3, 197-201

Gabrieli, P. (2010). Investigations on Interactions between students and teachers of diverse learning styles during science teaching and learning in secondary schools in Tanzania. Masters’ Thesis University of Dar-es-Salaam.

SBED 2056 Biology Teaching Methods

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SBED 2056 Biology Teaching Methods

Teaching strategies which are widely used in science classrooms may create instructional selection: … constructing learning environments in which only a subset of learners can succeed.

Page 22: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

SBED 2056 Biology Teaching Methods

Do not then train youths to learning by force and harshness, but direct them to it by what amuses their minds so that you may be better able to discover with accuracy the peculiar bent of the genius of each. — Plato

We must address the diversity of learning styles among the learners in our classrooms

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SBED 2056 Biology Teaching Methods

Three frameworks for characterizing differences in the way learners prefer to learn: • The VARK Framework

• Howard Gardner’s Theory of Muliple Intelligences

• Dimensions of learning styles in science

Page 24: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

SBED 2056 Biology Teaching Methods

The VARK (VAK) framework V – visual A – aural K – kinetic R – reading/writing

Page 25: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

SBED 2056 Biology Teaching Methods

Howard Gardner’s Theory of Muliple Intelligences

In Gardner’s view, the dominant IQ-tests only measure one type of intelligence … There are different areas of intelligence

Page 26: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

SBED 2056 Biology Teaching Methods

Howard Gardner’s Multiple Intelligences Theory Intelligence is characterized by facility with . .. 1. Linguistic-verbal Words, language, reading, and writing 2. Logical-mathematical Mathematics, calculations and quantification 3. Visual-spatial Three dimensions, imagery and graphic information 4. Bodily-kinesthetic Manipulation of objects, physical interaction with materials 5. Musical-rhythmic Rhythm, pitch, melody, and tone 6. Interpersonal Understanding of others, ability to work effectively in groups 7. Intrapersonal Metacognitive ability to understand oneself, self-awareness 8. Naturalistic Observation of patterns, identification and classification

Page 27: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

SBED 2056 Biology Teaching Methods

Dimensions of Learning in Science

Sensory Intuitive Visual Verbal Active Reflective Sequential Global

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SBED 2056 Biology Teaching Methods

Conclusions • Avoid Instructional Selection through the

use of multiple pedagogical approaches

• Reflect on your own learning style

• Reflect on your own teaching style

• Expand the repertoire of your teaching

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4

9

2 1

Aurial (A) learning seems to be your nr 1 preference. But you may still sometimes choose the visual (V) , the kinetic (K) or the Read/write (R) way of learning.

Page 30: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

Learning mathematics is about ….. • Concepts • Procedures

• Strategies • Reasoning • Productive disposition

Problem solving

Reasoning: To think logically and to justify one’s thinking

Page 31: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

Learning mathematics is about ….. • Concepts • Procedures

• Strategies • Reasoning • Productive disposition

Problem solving

«the tendency to see sense in mathematics, to perceive it as useful, to beleive that steady efforts in learning mathematics pays off …

Page 32: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

1. Implement tasks that promote reasoning and

problem solving 2. Use and connect multiple representations 3. Facilitate meaningful mathematical(scientific

discourse 4. Pose purposeful questions 5. Elicit and use evidence of student thinking 6. Build procedural fluency from conceptual

understanding

Math and science teachers must use multiple teaching methods and modes of instruction

Page 33: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

Implementent tasks that promote reasoning and problem solving

A taxonomy of mathematical tasks based on the kind and level of thinking required to solve them. • Lower-level demands (memorization)

• Lower-level demands (procedures without connections)

• Higher-level demands (procedures with connections)

• Higher-level demands (doing mathematics, mathematical

reasoning))

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Lower – level tasks

Memorization • What are the rules for solving equations?

• What are the rules for division of fractions?

Procedures without connections

• 2x = 10 x + 1 = 6

Page 35: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

Lower – level tasks

Memorization • What are the rules for solving equations?

• What are the rules for divisjon of fractions?

Procedures without connections • 2x = 10 x + 1 = 6

•1

2 :

1

3 =

Page 36: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

Higher – level tasks

Procedures with connections • Find one half of 1/3

• Find 1/3 divided by 2 Doing Mathematics (mathematical reasoning) • Create a real world problem dealing with fractions One possible student respons:

Bread

2/3 of 3/4

Page 37: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

Boaler, J. (1998). Open and closed mathematics: Student Experiences and Understandings. Journal for Research in Mathematics Education, 29 (1) pp 41-62

Open and closed mathematics Closed mathematics: use of traditional low-level tasks Open mathematics: process-based, tasks of higher-level

Page 38: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

Richie was the slowest

ItItook Jacqueline 4 seconds

less than Jack

was the slowest

It It took him twice as

long as George to get to

the tree

George was 3 seconds

slower than Jacqueline was 3 seconds

slower than Jacqueline

It took Jack 16 seconds

to get there

Jack, Jacqueline, George and Richie raced to the plum tree

How many seconds did it take

Richie to reach the tree?

Mixed up

Page 39: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

Mixed up

1. Organize (strategy!)

2. Find a solution

3. Describe/justify solution in words

4. Describe solution using mathematical language

reasoning

Page 40: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

Lower – level tasks

Procedures without connections • 2x = 10 x + 1 = 6

•1

2 :

1

3 =

Higher – level tasks Explain

Is 1

2 x

1

3 the same as

1

3 x

1

2 ? Why (not)?

Is 1

2 :

1

3 the same as

1

3 :

1

2 ? Why (not)?

Page 41: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

The black car radiates more energy

so it is cooler

The black car is hotter because it absorbs more

energy from the sun

Page 42: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

You can see the bubbles of heat in the boiling water

I think they are impurities coming out of the water

I think they are bubbles of water turned into gas

I think they are air bubbles

I think they are bubbless

og oxygen and hydrogen

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I think that the new volume of the box will

be 1/3

It will become 2 + 2+ 2 = 6

times smaller

If we halve the length of each of the sides of the box, then the volume

will be halved.

I think the volume of the smaller box will be 1/8 of the

volume of the bigger box

WHAT DO YOU THINK?

Page 45: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

Reasoning: To think logically and to justify one’s thinking

V1/2 = ………… V1/n = …………

Page 46: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

I think that the new volume of the box will

be 1/3

It will become 2 + 2+ 2 = 6

times smaller

If we halve the length of each of the sides of the box, then the volume

will be halved.

I think the volume of the smaller box will be 1/8 of the

volume of the bigger box

WHAT DO YOU THINK?

Page 47: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

a a b

c d

bc – ad = 10

Page 48: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

«Landscapes of investigation»

Skovsmose, O. (2001). Landscapes of Investigation. ZDM 33 (4) pp 123-132

Page 49: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

No. 1 No. 2 No. 3

Bn = 3n Bn = 3n + 1 Bn = 3n + (n – 1) Bn = 4n - 1

Bn represents the number of «pieces» you need to create figure No. n

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No. 1 No. 2 No. 3

No. 1 No. 2 No. 3 No. 4 No. 5 No. 6 No. 7

How many circles do we need for each one of the following numbers?

Page 51: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

1. Implement tasks that promote reasoning and

problem solving 2. Use and connect multiple representations 3. Facilitate meaningful mathematical/scientific

discourse 4. Pose purposeful questions 5. Elicit and use evidence of student thinking 6. Build procedural fluency from conceptual

understanding

Math and science teachers must use multiple teaching methods and modes of instruction

Page 52: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

MAGIC MATHEMATICS Choose a number between 1 and 20 Add 3 Multiply by 2 Subtract the number you have chosen Add 4 Subtract the number you have chosen The answer is?

Page 53: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

Choose a number t Add 3 t + 3 Multiply by 2 2 (t + 3) Subtract the number you have chosen 2 (t + 3) – t Add 4 2 (t + 3) – t + 4 Subtract the number you have chosen 2 (t + 3) – t + 4 – t

t

t

t

t

t

t

«Choose a number»

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Visual

Symbolic

Verbal Contextual

Physical

Multiple representations

Page 55: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

Symbolic Visual Contextual

𝟑𝟒

We went for a hike in the forest. We brought four bottles of water. We drank only three of them.

y = x + 1 y

x

Page 59: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

3. Mathematical models Mathematical models use symbols to express conceptual relationships. Mathematical models are the most abstract, accurate and predictive of all models.

A typology of school science models

Page 60: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

A model of the relationship between energy and mass

E = mc2

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T = [(1-α)S/(4εσ)]1/4 (T is temperature, α is the albedo, S is the incoming solar radiation, ε is the emissivity, and σ is the Stefan-Boltzmann constant)

A climate model

Page 62: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

3. Mathematical models Mathematical models use symbols to express conceptual relationships. Mathematical models are the most abstract, accurate and predictive of all models.

T = [(1-α)S/(4εσ)]1/4

6 CO2 + 6H2O C6H12O6 + 6 O2

A typology of school science models

Page 63: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

4. Theoretical models Theoretical models express theoretical concepts or explainations of phenomena/processes.

A typology of school science models

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The use of models (and analogies) in Science • Makes «visible» what is abstract and invisible • Stimulates the use of multiple intelligences /

learning styles • Focuses on what is most important • Reduces complexity, makes understandable what is

difficult/complicated

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The use of models (and analogies) in Science Some challenges: • Learners must not believe that a model is the complete truth.

A model is a simplification

• A model is valid as a representation of the true object/process only under certain conditions and in certain situations

• A model should not live its own life and become «the truth»

• Some models may create misunderstandings/misconceptions

Page 68: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

1. Implement tasks that promote reasoning and

problem solving 2. Use and connect multiple representations 3. Facilitate meaningful mathematical/scientific

discourse 4. Pose purposeful questions 5. Elicit and use evidence of student thinking 6. Build procedural fluency from conceptual

understanding

Math and science teachers must use multiple teaching methods and modes of instruction

Page 69: St. Rock College of Early Education, Korogwe WORKSHOP ON ...eduka.no/onewebmedia/Presentation Korogwe secondary...Teacher supervising classroom activities 27 % 10 % Teachers’ giving

Which is the odd one out in the following and WHY?

49 13 11 7

1 3

4 x 1 2 0.75 x 0.5 4

3 x 3 32 0.125 x 3

2

0,1 10 1/1000 1

3 49

6254

83

273

4

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As the plant grows its extra weight comes

from the soil

The extra weight comes from the water it takes in

through the roots

What do YOU think?

It gets bigger but not heavier

Its extra weight comes from the air

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Understanding implies a more complex, multidimensional integration of information into a learner’s own conceptual framework.

Knowing is associated with facts, memorization, and often superficial knowledge. Knowing facts, knowing how to operate a machine …

Understanding is DEEPER

knowledge!

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When one understands, then one. . . • Can explain • Can interpret • Can apply • Has perspective • Can empathize • Has self-knowledge

Understanding

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MOVING FROM KNOWING FACTS TOWARD DEEP UNDERSTANDING THROUGH CONCEPTUAL CHANGE

Conceptual change

Knowing Understanding Conceptual

Changel

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Theory of conceptual change in science (Posner et al., 1982) A learning process in which an existing conception (idea or belief about a scientific concept or phenomena) held by a student is shifted and restructured, often away from an alternative or misconception and toward a conception that is considered as more scientifically “correct”.

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Teaching toward conceptual change requires that students consider new information in the context of their prior knowledge and their own worldviews. Often a confrontation between these existing and new ideas must occur and be resolved for understanding to be achieved.

Conceptual change

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Conceptual change

In teaching toward understanding of major concepts in biology and achieving conceptual change for students, it is first necessary to understand students’ prior knowledge.

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Prior knowledge

Students and teachers and instructors together must access prior knowledge • Find out what prior knowledge is “correct” and

should form a good basis for further learning

• What prior knowledge is based on misconceptions and incomplete understandings

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Misconceptions

Alternative conceptions = misconceptions = misunderstandings Example: The extra weight of a plant when it grows comes from the soil

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Misconceptions Alternative conceptions often parallel explanations of natural phenomena offered by previous generations of scientists and philosophers. Alternative conceptions may have their origins in a diverse set of personal experiences, including direct observation and perception, peer culture, and language Alternative conceptions may as well have their origin in teachers’ explanations and instructional materials. Teachers often subscribe to the same alternative conceptions as their students.

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Giraffes have developed long necks because

those individuals with longest necks were best fittet to their environment

…. because generations of giraffes have

stretched their necks further and further to

reach the highest leaves

Giraffes have

always had long necks

What do YOU think?

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As the plant grows its extra weight comes

from the soil

The extra weight comes from the water it takes in

through the roots

What do YOU think?

It gets bigger but not heavier

Its extra weight comes from the air

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Van Helmonts experiment

Van Helmont wanted to find out where the extra

weight comes from when plants grow.

(1580 – 1644)

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5 years

Van Helmont placed a plant in an earthen pot containing 90 kg of dried soil, and over a five-year period he added nothing to the pot but rainwater or distilled water.

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5 years

Van Helmont placed a plant in an earthen pot containing 90 kg of dried soil, and over a five-year period he added nothing to the pot but rainwater or distilled water.

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5 years

After 5 years the plant had gained 75 kg and the soil had lost 57 grams in weight

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5 years

After 5 years the plant had gained 75 kg and the soil had lost 57 grams in weight

Van Helmont concluded that «75 kg of wood, barks, and roots arose out of water only”.

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As science teachers we should be aware, in particular, of the misconceptions that may form an obstacle for learning Examples: • Cells are 2D

• As wood burns,

only ash remains, there is nothing more

• Plants do photosynthesis, animals/humans do respiration

• Air has no weight, air has negative weight

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As science teachers we should be aware, in particular, of the misconceptions that may form an obstacle for learning Examples: • Because we talk about 'charging' a battery, it's a

common misconception that batteries store electric charge or electrons.

• An electric current is the flow of electrons through initially empty wires.

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The word «misconception» has been (mis)used widely.

Older elephants that are near death do not leave their herd and instinctively direct themselves toward a specific location known as an elephants' graveyard to die.[

Ostriches do not stick their heads in the sand to hide from enemies

Erroneous beliefs

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Misconceptions Alternative conceptions often parallel explanations of natural phenomena offered by previous generations of scientists and philosophers. Alternative conceptions may have their origins in a diverse set of personal experiences, including direct observation and perception, peer culture, and language Alternative conceptions may as well have their origin in teachers’ explanations and instructional materials. Teachers often subscribe to the same alternative conceptions as their students.

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Children’s misconceptions may be associated with everyday reasoning («commonsense» ways of explaining phenomena

Driver, R., Asoko, H., Leach, J. Mortimer, E. & Scott P. (1994). Constructing Scientific Knowledge in the Classroom. Educational Researcher, 23 (7), 5-12

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Everyday reasoning Scientific reasoning

Tends to be tacit or without explicit rules

Expilicit formulation of theories that can be communicated and inspected in the light of evidence

Ideas are judged in terms of being useful for special purposes or in specific situations

Has a purpose of constructing a general and coherent picture of the world

Children’s misconceptions may be associated with everyday reasoning («commonsense» ways of explaining phenomena

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Border Crossing Cross-Cultural Science Education

There may sometimes be a conflict between the ideas of everyday life-world and the ideas of the world of school science

Aikenhead & Jegede (1999). Cross-Cultural Science Education: A Cognitive Explanation of a Cultural Phenomenon. Journal of Research in Science Teaching, 36 (3), 269–287 Aikenhead, G. (1996). Science education: Border crossing into the subculture of science. Studies in Science Education, 27, 1-52

Everyday life-world

World of science

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Border crossing may be facilitated in classrooms

• by studying the subcultures of students’ life-worlds

• and by contrasting them with a critical analysis of the subculture of science (its norms, values, beliefs, expectations, and conventional actions)

• consciously moving back and forth between life-worlds and the science worlds

• switching language conventions explicitly, switching conceptualizations explicitly, switching values explicitly, switching epistemologies explicitly

but never requiring students to adopt a scientific way of knowing as their personal way.

From: Aikenhead, G. (1996). Science education: Border crossing into the subculture of science. Studies in Science Education, 27, 1-52

Border crossing

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Border crossing may be facilitated in classrooms

• but never requiring students to adopt a scientific way of knowing as their personal way.

From: Aikenhead, G. (1996). Science education: Border crossing into the subculture of science. Studies in Science Education, 27, 1-52

Border crossing

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Teaching toward conceptual change requires that students consider new information in the context of their prior knowledge and their own worldviews. Often a confrontation between these existing and new ideas must occur and be resolved for understanding to be achieved.

Conceptual change

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APPLICATION OF CONCEPTUAL CHANGE THEORY TO THE CLASSROOM

If individuals are to change their ideas, they must first become dissatisfied with their existing conception … … and then proceed to judge a new conception to be • Intelligible (able to be related to some existing conceptual

framework)

• Plausible (having more explanatory power or providing solutions to problems)

• Fruitful (providing potential for new insights and discoveries)

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Restructuring prior knowledge

Identify prior knowledge Challenge alternative conceptions Modify prior knowledge

CONCEPTUAL CHANGE

Constructing new knowledge

Judge new conceptions Adopt new conceptions

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Those learners who are engaged in explaining something to another experience the strongest effect on their learning

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TALKING IN THE CLASSROOM

Secret concepts

* Tanner, K. (2009). Approaches to Biology Teaching and Learning: Why Biology Students Should be Talking in Classrooms and How to Make It Happen. CBE – Life sciences Education, 8, 89-94

A’s and B’s

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Secret concepts

Four concepts from physics

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Nu

Cell membrane Nucleus

Cytoplasm Mitochondria

Secret concepts

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Nu

α- radiation Fusion

X-rays Infrared

Secret concepts

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Nu

Cell membrane Nucleus

Cytoplasm Mitochondria

…………………….. ……………………. …………………….

…………………….. ……………………. …………………….

…………………….. ……………………. …………………….

…………………….. ……………………. …………………….

Secret concepts

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Nu

Cell membrane Nucleus

Cytoplasm Mitochondria

Phospholipids Semipermeable Pores

DNA Membrane Chromosomes

Cytosol Glycolysis Organelles

Energy Cristae ATP

Secret concepts

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NuMedical

Cell membrane Nucleus

Cytoplasm Mitochondria

2 p + 2 n Uranium-238 Ionizing

Secret concepts

Sun Helium Hydrogen

Medical Electromagnetic ……

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Nu

Cell membrane Nucleus

Cytoplasm Mitochondria

Phospholipids Semipermeable Pores

DNA Membrane Chromosomes

Cytosol Glycolysis Organelles

Energy Cristae ATP

Scientific concepts

Your keywords

Secret concepts

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REMEMBER Do not show the biological concepts to your group partner! Only show him/her your keywords Not allowed to use multiple words, no more than 3 keywords Not allowed to use words that refer directly to concept Do not make it too easy for your partner!

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A. Chemicals

are made up off atoms. Cells are not made up off

atoms

B. It should be

possible to see atoms that are

within a cell

D. There are molecules inn

a cell, but not atoms

C. You may be able to

see cells, but not atoms

WHAT DO YOU THINK?

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THE RESULTS

First Second

A 22 8

B 29 22

C 34 62

D 40 23

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Visible sides

Invisible sides

Visible + invisible sides

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Coins (36)

How many coins are there, in total, in the four sides of the square?

Example: 9 coins

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Coins (36) Make a square with 36 coins

How many coins are there, in total, in the four sides of the square? Imagine a square made of 81 coins. How many coins, in total, are there in the four sides?

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81 coins – results:

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Algebra race

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Sequensing

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True-false statements Sequensing

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Thought experiments Sequensing

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How much antioxidants is there in …… ? A: orange B: orange juice C: pineaple juice

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How much antioxidants is there in …… ? A: orange B: orange juice C: pineaple juice D: ……. E: ……. F: …….

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How much antioxidants is there in …… ? Least …… most?

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How much antioxidants is there in …… ? Least …… most?

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[Oxidant: blue colour]

How much antioxidants is there in …… ? Least …… most?

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Antioxidants break down the oxidant. But they are also broken down themselves

How much antioxidants is there in …… ? Least …… most?

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Antioxidants break down the oxidant (blue colour)

The more antioxidants present, the more blue dropplets can be broken down

How much antioxidants is there in …… ? Least …… most?

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Antioxidants break down the oxidant (blue colour)

C-vitamin 1 mg/l

How much antioxidants is there in …… ? Least …… most?

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Antioksidantene ødelegger blåfargen

C-vitamin 1 mg/l

30

How much antioxidants is there in …… ? Least …… most?

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Antioxidants break down the oxidant

C-vitamin 1 mg/l

30 15

How much antioxidants is there in …… ? Least …… most?

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C-vitamin 1 mg/l

30 15 62 29

How much antioxidants is there in …… ? Least …… most?

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C-vitamin 1 mg/l C-vitamin-

equivalents

How much antioxidants is there in …… ? Least …… most?

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How much antioxidants is there in …… ? Least …… most?

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1. Starch 2. Iodine 3. C-vitamin

Starch + iodine = blue! Antioxidant breaks down iodine

Svart boks:

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1. Stivelse 2. Jodløsning 3. C-vitamin

Svart boks:

Starch + iodine = blue! Antioxidant breaks down iodine The antioxidants offers it’s electrones to the oxidant

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1. Starch 2. Iodine 3. C-vitamin

Svart boks:

Starch + iodine = blue! Antioxidant breaks down iodine The antioxidant offers it’s electrones to the oxidant The oxidant is reduced The oxidant changes it’s properties