Mathematics

Short Name: 
Math

Effective Problem-Solving Instruction

This summary describes a wide range of research-based recommendations for guiding instruction in problem solving. Three important strategies that apply at all grade levels and in all areas of math are: use of visual representations, encouragement of multiple approaches to solving problems, and linking mathematical and algebraic notation to intuitive approaches.

 

SOURCE: Doing What Works

Problems

In the media piece, Connecting Mathematical Ideas to Notation, Sybilla Beckmann presents two examples of problems showing how students can connect mathematical concepts and notation. This sample material has the problem statements along with the solution ideas given by Beckmann.

 

SOURCE: Doing What Works

Pre-Conference Planning Form

Elementary math coaches in the Papillion-La Vista School District use a lesson pre-conference planning form with teachers. Coaches work with teachers to consider goals and students’ experience and interests as they prepare problems and incorporate problem-solving activities into lessons.

 

SOURCE: Doing What Works

Coach Talk

Listen in as two mathematics coaches discuss being strategic in the selection of problems and planning for classroom discussions including use of the Pre-Conference Planning Form.

 

FEATURING: Jane McGill & Danielle Inserra, Papillion Junior High School (NE)

SOURCE: Doing What Works

Coach Talk

 

Listen to two mathematics coaches from the Papillion-La Vista School District share the concepts they emphasize when working with teachers, including the importance of comparing multiple approaches to solving a problem and debriefing the strategies students have used.

 

FEATURING: Jane McGill & Danielle Inserra, Papillion Junior High School (NE)

SOURCE: Doing What Works

Focus on Ratios

This PowerPoint outlines the content of a development session for math coaches and teachers on teaching ratios, rates, and proportions. Understanding Ratios shows a portion of the workshop in which participants are working on the sample material, Ratio Problems.

 

SOURCE: Doing What Works

Ratio Problems

Participants in the Understanding Ratios development session worked with this set of problems to strengthen their conceptual understandings. See Focus on Ratios for additional background.

 

SOURCE: Doing What Works

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