14
Jonathan Brendefur, PhD [email protected] Professional Development Curricular Resources Assessment © DMTI (2019) | RESOURCE MATERIALS | WWW.DMTINSTITUTE.COM 1 Developing Mathematical Thinking Institute (DMTI)

Developing Mathematical Thinking Institute(DMTI)...“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting

  • Upload
    others

  • View
    4

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Developing Mathematical Thinking Institute(DMTI)...“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting

Jonathan Brendefur, [email protected]

ProfessionalDevelopment

CurricularResources

Assessment

© DMTI (2019) | RESOURCE MATERIALS | WWW.DMTINSTITUTE.COM1

Developing Mathematical Thinking Institute (DMTI)

Page 2: Developing Mathematical Thinking Institute(DMTI)...“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting

About the DMTI Targeted Activities

© DMTI (2019) | RESOURCE MATERIALS | WWW.DMTINSTITUTE.COM 2

These DMTI Targeted Activities modules are designed to be played or completed with a partner or in small groups. These supplement the Primary Math Assessment and DMTI curricular materials.

The activities are intended for teachers or caregivers to play with children to build necessary math skills and math language. Each activity can be played for 10 to 20 minutes. And if there are additional activities in a module, they are built to be more advanced.

Page 3: Developing Mathematical Thinking Institute(DMTI)...“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting

3© DMTI (2019) | RESOURCE MATERIALS | WWW.DMTINSTITUTE.COM

PMA – Grade 1Interpreting Context

Page 4: Developing Mathematical Thinking Institute(DMTI)...“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting

© DMTI (2019) | RESOURCE MATERIALS | WWW.DMTINSTITUTE.COM 4

What’s involved:• Seeing quantities and operations

• Understanding what the child knows or doesn’t know in the problem

• Problem solving

• Seeing patterns

Why it matters:• Builds critical thinking and problem solving

skills

• Gives insight into what a student understands and how the student thinks

• Highlights misconceptions that may be hidden with symboliccalculations

Interpreting Context

Page 5: Developing Mathematical Thinking Institute(DMTI)...“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting

Interpreting ContextDirections:• Print the beach scene template or the set of questions. • Complete activity I and then II

© DMTI (2019) | RESOURCE MATERIALS | WWW.DMTINSTITUTE.COM 5

Page 6: Developing Mathematical Thinking Institute(DMTI)...“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting

Interpreting ContextActivity I:• Look at the beach scene (printed or online).• Ask the child what they see in general. Make up a story. • Next, ask what math statements they can make. (Take turns counting

or asking addition or subtraction questions.)

© DMTI (2019) | RESOURCE MATERIALS | WWW.DMTINSTITUTE.COM 6

Page 7: Developing Mathematical Thinking Institute(DMTI)...“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting

© DMTI (2019) | RESOURCE MATERIALS | WWW.DMTINSTITUTE.COM 7

Template: Underwater Context

Page 8: Developing Mathematical Thinking Institute(DMTI)...“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting

Interpreting ContextActivity II:• Have your child look at the beach scene and then ask the following set

of questions.

© DMTI (2019) | RESOURCE MATERIALS | WWW.DMTINSTITUTE.COM 8

Page 9: Developing Mathematical Thinking Institute(DMTI)...“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting

Interpreting Context1. How many turtles do you see in the

picture?2. If the turtle swam away, how many

turtles would you see now?3. How many more turtles would need to

come so there would be ten turtles? - Change the number a few times (e.g., 15, 20, 30, etc), and then ask your child what is happening.

© DMTI (2019) | RESOURCE MATERIALS | WWW.DMTINSTITUTE.COM 9

Page 10: Developing Mathematical Thinking Institute(DMTI)...“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting

Interpreting Context4. How many crabs do you see? 5. How many total legs are on these

crabs? 6. How many total legs would there be

if there were ___ (4 crabs, 5 crabs, 6 crabs)?

© DMTI (2019) | RESOURCE MATERIALS | WWW.DMTINSTITUTE.COM 10

Page 11: Developing Mathematical Thinking Institute(DMTI)...“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting

Interpreting Context7. How could you put the colored fish

into two groups? How many would be in each group?

8. How could you group the colored fish in a different way? How many colored fish would there be all together?

9. You see eight fish swimming around. If two fish swim away, how many fish would there be? (What if 3, 4, 5, or 6 fish swam away? How many fish would be in the underwater scene?)

© DMTI (2019) | RESOURCE MATERIALS | WWW.DMTINSTITUTE.COM 11

Page 12: Developing Mathematical Thinking Institute(DMTI)...“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting

Interpreting Context10. Where is the octopus in the

picture? How many tentacles does it have?

11. How many more tentacles does the octopus have than you have legs?

12. How many tentacles would there be in all if there were three octopuses in the picture?

© DMTI (2019) | RESOURCE MATERIALS | WWW.DMTINSTITUTE.COM 12

Page 13: Developing Mathematical Thinking Institute(DMTI)...“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting

Interpreting Context13. There are 12 creatures moving

around. If three of the creatures are crabs, how many creatures are not crabs?

14. There are five jewels in or around the treasure chest. If we find nine more jewels in the chest, how many total jewels would we have?

© DMTI (2019) | RESOURCE MATERIALS | WWW.DMTINSTITUTE.COM 13

Page 14: Developing Mathematical Thinking Institute(DMTI)...“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting

“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting educators in the implementation of research-based instructional strategies through high-quality professional development, curricular resources and assessments."

For more informationcontactDr. Brendefur at [email protected]

14© DMTI (2019) | RESOURCE MATERIALS | WWW.DMTINSTITUTE.COM

“The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting educators in the implementation of research-based instructional strategies through high-quality professional development, curricular resources and assessments.”

For more information contactDr. Brendefur at [email protected]