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Several ideas for classroom use that increase the cognitive engagement of students while problem solving.

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Math Probem Solver Handouts from Center for Urban Education

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5 Ways to Make a 5 - 10 Ways to Make a 10

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5 Ways to Make a 5 - 10 Ways to Make a 10

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Allows for collaboration and creative thinking while reviewing math facts. This can be adapted for use with addition, subtraction, multiplication, division, exponents, and order of operations.

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5 ways to make a 5 from Center for Urban Education

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This activity can be adapted for a number of different grade levels and content. It increases student engagement, allows for student to work at their current level, provides student choice, and suggests opportunities for student discourse.

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Math Operations Assessment from Center for Urban Education

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Developing Classroom Culture with 1-100 Activity from Sara VanDerWerf

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Developing Classroom Culture with 1-100 Activity from Sara VanDerWerf

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This activity is good for many grade levels, however, it can be adapted to provide greater challenge by changing the patterns and types of numbers or expressions to evaluate.

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Resources to support Problem Based Learning

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Review Each Task and think about the approaches that students might take to solve the problem.  Which task requires deeper thinking?

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New Jersey Student Learning Standards for Mathematics

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Case Study for Maintenance and Decline of High Cognitive Demand

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Case Study for Maintenance and Decline of High Cognitive Demand

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Sandra Pascal

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Case Study for Maintenance and Decline of High Cognitive Demand

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Case Study for Maintenance and Decline of High Cognitive Demand

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Patrick Donnelly

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NCTM-Taking Action 6-8 The Casse of Patrick Donnelly

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Ms. Smith began the exploration of the formula for the area of a triangle by first presenting a lesson in which the students found the area of right triangles.  She now wants to follow this lesson with a task that will support students’ conceptual development in determining a generalized formula for the area of any triangle.
Review these tasks in attachment and determine:
1. Which tasks support the objective?

2. What aspects of the tasks might be challenging for the students?

3. How would you structure the lesson?

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Link to resource folder located on Google Drive

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This allows participants to engage in the modeling process to plan instruction.

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Math Practices Look Fors taken from NCTM.org

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Math Practices Look Fors taken from NCTM.org

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This document is a list of links to resources to help inform what students should be asked to do when involved in modeling and PBL instruction

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https://docs.google.com/document/d/1DVvGLMp_Va59uVzUEjD8AQ7l01TTyvKeGpvwOvuUL_g/edit?usp=sharing

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NJSLS: http://www.state.nj.us/education/cccs/2016/math/
Evidence Statement Tables
http://parcc-assessment.org/assessments/test-design/mathematics/math-test-specifications-documents
Performance Level Descriptors
http://parcc-assessment.org/assessments/test-design/mathematics/math-performance-level-descriptors
Released Items
http://parcc-assessment.org/released-items
Grade 6 reports found above

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https://drive.google.com/drive/folders/0B_jEDzDIpPzjc2d1NllGdXl6UjQ?usp=sharing

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https://drive.google.com/drive/folders/0B_jEDzDIpPzjRGNCSFlDY3NZY2s?usp=sharing

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https://drive.google.com/drive/folders/0B_jEDzDIpPzjWmcydjhnWTV5RGM?usp=sharing

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https://drive.google.com/drive/folders/0B_jEDzDIpPzjRXhubEowV21mWEE?usp=sharing

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https://drive.google.com/drive/folders/0B_jEDzDIpPzjN0kzZTYzU0hrVlU?usp=sharing

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https://drive.google.com/drive/folders/0B_jEDzDIpPzjQ1VrSDJPblR5ZlU?usp=sharing

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https://drive.google.com/drive/folders/0B_jEDzDIpPzjNWwtdDJGTi1CRUU?usp=sharing

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Ideas on How to Move from GAIMME to Changing Paradigms

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Ideas on How to Move from GAIMME to Changing Paradigms

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Mathematical Modeling in the High School Curriculum _Mathematics Teacher voll 110(5)