Transitions in the Conception of Number: From Whole Numbers to Rational Numbers to Algebra

CONTENTS OF CURRICULUM UNIT 23.03.04

  1. Unit Guide
  1. Introduction
  2. Rationale
  3. Background Content Knowledge
  4. National Council of Teachers of Mathematics Process Standards
  5. Framework for Mathematical Discourse and Schema Building
  6. Strategies
  7. Activities
  8. Appendix on Implementing District Standards 
  9. Bibliography
  10. Notes

A Framework for Problem Solving: Schema Development and Discourse

Valerie Schwarz

Published September 2023

Tools for this Unit:

Strategies

The three main strategies that this curriculum unit utilizes are mathematical discourse, the RDW strategy, and small group collaboration. A brief description of each is provided below.

Mathematical Discourse

Throughout the lesson, students will engage with each other in mathematical discourse. As students discuss, explain, reason, and justify their ideas they learn to use precise vocabulary and articulate their thinking clearly. Through the process, they help each other to understand math and deepen their own knowledge. If students are reluctant, it is easier to discuss with a partner before sharing with a group of four or five students.

Read Draw Write (RDW)

The RDW strategy is used in the Eureka Math curriculum. As described earlier in this unit, the “R” stands for read. The students read the problem carefully so that they can “D”: draw a representation of the problem with a tape diagram. The way students draw the tape diagram and the context of the problem help students determine the operation needed to solve the problem. The next step is to write an equation and solve the problem. The “W” stands for write and students are taught to go back to the question and write their answer in a complete sentence.

Small Group Collaboration

Small groups are used during all phases of this curriculum unit. Students work together to discuss, solve, and categorize word problems. Students learn to help each other and to use each other’s strengths as they work as a team and develop a learning community.

Gradual Release

The curriculum unit will roll out using gradual release. The unit will span the first semester and is spread throughout three Eureka Math modules. It will begin by simply asking students to write one more question to go with the daily Application Problem. Gradually students will take on more responsibility, so they are prepared to succeed when it is time for the culminating activity. See below where the gradual release is described in more detail.

Comments:

Add a Comment

Characters Left: 500

Unit Survey

Feedback