Cruella’s Computation Concepts

Jessi Presley, Main Elem. Math CoachBeth Williams, Elm Street Math Coach

● wi-fi● a “Smart” device● A QR code reader● to enter Google Classroom● your brain

In this session you will need:

In this session, you will...

● review rationale and purpose of Number Talks

● learn how strategies from Making Number Talks Matter align and correspond with Number Talks

● craft your own number strings (and go home with even more!)

● receive higher-order questions for each strategy

● regain track of your 101 Dalmations

● be guided by Cruella (Jessi Presley) and her trusty assistant Jasper (Beth Williams)

“Number Talks are about students making sense of

their own mathematical ideas.”

~Making Number Talks Matter, Humphreys & Parker, 2015, pg. 13

The purpose of Number Talks

Have you seen this?

“Decades of research have shown that the traditional curriculum and instructional methods in the United States have left our students with fragile skills and shallow understanding (Hiebert 1999).” ~Making Number Talks Matter, Humphreys & Parker, 2015, pg. 6

“Most upper-grade teachers lament their students lack of mathematical understanding. They often secretly - or not so secretly - wonder what students did in their previous classes. Why don’t they know their multiplication facts in fourth, fifth, or even tenth grade? Why do some students still hide their fingers under the table as they count? And why do they have so much trouble with fractions: The fact that this happens in so many classrooms across the country tells us that the failure lies not with the students or even their teachers, but in how mathematics has been taught, year after year, with the best of intentions.”~Making Number Talks Matter, Humphreys & Parker, 2015, pg. 1

What did they DO last year?!?!?!

“Something wonderful happens when students learn they can make sense of mathematics in their own ways, make mathematically convincing arguments, and critique and build on the ideas of their peers.” ~Making Number Talks Matter, Humphreys & Parker, 2015, pg. 5

Why are Number Talks so important?

1. Paper & Pencils away2. Problem written horizontally3. Use of hand signals (thumbs up)4. Record all possible solutions without judgment.5. Students orally share strategies as teacher records

thinking.**WAIT TIME**

~Making Number Talks Matter, Humphreys & Parker, 2015, pg. 11-18

Refresher on Rituals & Routines

Which operation do you find to be most challenging for your students?

a) additionb) subtractionc) multiplicationd) division

4 Corners

100 - 75120 - 75125 - 75125 - 83

Study these problems. Why do you think

these numbers were chosen to aid in the

development of the “Adding Up” strategy?

9.15 - 7.5

3 ¼ - 1 ¾

Let’s try it with fractions & decimals!

If your goal is for students to be able to answer 3.4 - 1.25, what number

strings could you write in order to lead them through the thought process?

Let’s craft some Number Strings!

1. Work with a small group (no more than 4 people).

2. Choose a target expression that can be solved using Adding Up.a. Your expression must include fractions OR

decimals.3. Develop 2-3 guiding expressions to create a full

number string.

Let’s craft some Number Strings!

Read and annotate pgs. 93 & 94 from Making Number Talks Matter!

Post a response, thought-provoking idea, etc. in this session’s Google

Classroom.

What do you think?

720 ÷ 36360 ÷ 1860 ÷ 3

Study these problems. Why do you think

these numbers were chosen to aid in the

development of the “Proportional

reasoning” strategy?

35 ÷ .52.6 ÷ .2½ ÷ ⅔

Let’s try it with fractions & decimals!

If your goal is for students to be able to answer 1.35 ÷ .03, what number strings could you write in order to lead

them through the thought process?

Let’s craft some Number Strings!

1. Work with a small group (no more than 4 people).

2. Choose a target expression that can be solved using Proportional Reasoning.a. Your expression must include fractions OR

decimals.3. Develop 2-3 guiding expressions to create a full

number string.

Let’s craft some Number Strings!

Another Resource

Contexts for Learning Mathematics (4-6 kit)

**available at ALL elementary schools**

Get your dalmations

in line!from Making Number Talks

Matter, pg. 115-117 (adapted from a Marilyn Burns activity in About

Teaching Mathematics: A K-8 Resource)

If you are interested in more activities for

making sense of fractions & decimals...

...refer to Chapter 8 in

Making Number Talks Matter!

Suggested Questions for Number Talks

According to John Hattie’s work in Visible Learning for

Teachers (2012), effect sizes for practices used in NT are

huge!

classroom discussion: 0.82

feedback: 0.75

questioning: 0.48

“When you shift away from teaching “what to do” to encouraging students to think in their own ways; away from teaching procedures for students to practice to posing problems and letting kids grapple with them; and away from

knowing what you want students to say to listening with honest curiosity to the things they have to say, then your teaching and life

in your classroom will be FOREVER CHANGED.”

~Making Number Talks Matter, Humphreys & Parker, 2015, pg. 177

Moving Forward

Please fill out an evaluation!

Our objectives were to:

● review rationale and purpose of Number Talks

● learn how strategies from Making Number Talks Matter align and correspond with Number Talks

● craft your own number strings (and go home with even more!)

● receive higher-order questions for each strategy

● regain track of your 101 Dalmations

● be guided by Cruella (Jessi Presley) and her trusty assistant Jasper (Beth Williams)