Teaching Mathematics to Struggling Learners: Multiplication and Division focuses on diagnosing and addressing student difficulties and developing mathematical content knowledge for teaching in the areas of multiplication and division.
TMSL: Multiplication and Division Course Goals
Participants will:
- Understand research-based strategies and best practices for struggling learners in mathematics
- Experience activities to increase their content knowledge in the areas of multiplication and division
- Analyze and experience the Specially Designed Instruction (SDI) resource, Do the Math, centered on the content of multiplication and division
- Analyze and experience diagnostic assessment
- Understand how to use Michael Battista’s Cognition-Based Assessment of Multiplication and Division as a diagnostic assessment
- Understand how to use embedded formative assessment (Do the Math Show What You Know) to guide instruction and make students aware of their own learning
- Build pedagogical content knowledge of additive and multiplicative thinking for multiplication
- Understand four problem types for multiplication
- Equal groups
- Multiplicative comparison
- Cartesian product
- Rectangular area/array
- Discuss the role of spatial structuring in multiplicative thinking
- Analyze and compare three types of physical or pictorial models that help develop the meaning of multiplication and division
- Discrete sets of objects
- Linear models
- Arrays
- Examine critical learning phases of multiplication and division
- Understand and discuss partitive (sharing) division and measurement (grouping) division
- Understand the relationship between division and multiplication
- Discuss instruction and prioritization in foundational fact understanding and fluency
- Examine research pieces on building fact fluency
- Explore interview methods for the assessment of basic fact fluency
- Review the purpose and examples of guided instruction: questions, prompts, cues, and teacher think-alouds
- Practice inserting questions, prompts, cues, and teacher think-alouds into their Do the Math lessons