auckland mathematics association 2011 anna martin avondale college experiments at level 7

22
Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

Upload: dennis-lawson

Post on 17-Dec-2015

224 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

Auckland Mathematics Association 2011

Anna MartinAvondale College

EXPERIMENTS AT LEVEL 7

Page 2: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

Pose a problem that will require an experiment to investigate

Write a plan for the experimentCarry out the experiment and record data

Analyse the dataAnswer the investigative problem

What could possibly go wrong?

BASIC OVERVIEW

Page 3: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

Outline process for increasing understanding of new curriculum and associated assessment standards

Share planning for experiments at level 7

Increase understanding of different types of investigations involving experimental situations

WORKSHOP GOALS

Page 4: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

NZCTeaching and learning guidesDraft standardExemplar tasks (and annotated student exemplars)

MatrixWorkshops

SYNTHESISING AVAILABLE INFORMATION

Page 5: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

Different types of experimentsHow to pose a question for an investigation that needs an experiment

How to plan an experimentHow to explore data from an experiment

How to consider and use variabilityHow to write a report

WHAT DO STUDENTS NEED TO LEARN

Page 6: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

Identify which of the following are experiments, and if so, what kind of experiment.

Describe what should you be looking for in the data.

EXPERIMENT?

Page 7: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

What is the relationship between people’s “before exercise” pulse rates and their “after exercise” pulse rates?

EXPERIMENT?

Page 8: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

What is the relationship between the height balls are dropped from and the height of the first bounce?

EXPERIMENT?

Page 9: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

What is the relationship between the length and maximum circumference of carrots (or other fruit or vegetable?)

EXPERIMENT?

Page 10: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

What is the relationship between people’s cubit lengths and their heights? (Cubit length is from elbow to tip of middle finger.)

EXPERIMENT?

Page 11: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

Is the number of assessment standards (for all qualifications not just NCEA) offered by NZQA greater or less than 5 000?

How many assessment standards do you think are offered by NZQA?  

SURVEY TIME

Page 12: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

Is the number of assessment standards (for all qualifications not just NCEA) offered by NZQA greater or less than 15 000?

How many assessment standards do you think are offered by NZQA?  

SURVEY TIME

Page 13: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

Is the number of assessment standards (for all qualifications not just NCEA) offered by NZQA greater or less than 15 000?

How many assessment standards do you think are offered by NZQA?  

SURVEY TIME

Page 14: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

CLOSE READING

Page 15: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

CLOSE READING

Page 16: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

COGNITIVE TASKS

Page 17: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

ACTIVITIES TO ENCOURAGE EXPERIMENT IDEAS

http://www.phy.ntnu.edu.tw/ntnujava/index.php?PHPSESSID=n3u00b69q2eai42bcanvnk1t74&topic=387.0

Page 18: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

TESTING PROCESSES

Myth busters episode on whether it is possible to shoot a ball out of the back of a car at the same speed the car is moving forward so that relative motion is zero.

Page 19: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

What was the investigative question?

What type of experiment was used?

How many trials were competed OR how many experimental units?

How was the data collected? What measurement tools were used?

What analysis was completed?What conclusions were made?

IDENTIFY AND DESCRIBE STEPS IN THE INVESTIGATION

Page 20: Auckland Mathematics Association 2011 Anna Martin Avondale College EXPERIMENTS AT LEVEL 7

USE WORRY QUESTIONS TO EVALUATE AND CRITIQUE

GAL (Adults’ statistical literacy: Meanings, Components, Responsibilities – 2002)