Cognitively Guided Instruction:

Understanding how children think about addition, subtraction, multiplication and division, including...

Addition and Subtraction:

In Children's Mathematics: Cognitively Guided Instruction, read the introduction, chapter 1, chapter 2, and the section Direct Modeling Strategies in chapter 3 (up to page 18).

Lesson 0: Introduction

Lesson 1: Two ways of looking at addition (JRU and PPW-WU)

Lesson 2: Addition and subtraction as actions (JRU and SRU, including direct modeling)

Lesson 3: Other problem types with distinct direct modeling strategies (JCU, SRU and CDU)

Lesson 4: More about part-part-whole (direct modeling by association; PPW-WU and PPW-PU)

Extra practice: Identify problems by their problem type and answer questions about direct modeling.

Lesson 5: Writing problems for students at a direct modeling stage

--CGI Assignment 1: writing addition and subtraction word problems for children at a direct modeling stage.

Lesson 6: Variations on Compare problems (CQU and CRU)

Lesson 7: Start Unknown problems

Quiz: Identify all 11 problem types (Take this quiz online as many times as you wish.  You will get credit for your best score by the end of the day Sept 28)

Lesson 8: Teaching addition and subtraction using word problems to children at the direct modeling stage of understanding.

--CGI Assignment 2: Write a CGI mini lesson-plan.

Lesson B: Problem Type Difficulties

Multiplication and Division:

In Children's Mathematics: Cognitively Guided Instruction, read chapter 4: Multiplication and Division

Lesson 9: Grouping problems: Multiplication, Measurement Division, Partitive Division. (D2L quiz)

Lesson 10: Rate and price problems (with Cuisenaire rods) (D2L quiz)

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Lesson 11: Multiplicative Comparison problems

Lesson 12: Area and Array problems

Lesson 13: Combination problems