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Nov 9—11, 2018
Institute 1: Boosting Number Sense
Number Sense is included in the AERO Mathematics Standards; however classrooms are filled with students…who think of mathematics as rules and procedures to memorize without understanding the numerical relationships that provide the foundation for the rules. The goal of this institute is to examine the progression of the building of conceptual number sense from elementary to high school.
Participants will:
- Explore the progressions of the major components of early number sense.
- Explore the progression of decimal fractions, moving to the development of rational and irrational numbers in the middle school.
- Develop an understanding of the role of using multiple representations and contextual situations to support the building of number sense;
- Gain insight into the Mathematical Practices and what they look like and how they are assessed in a middle/ high school mathematics classroom.
Feb 1—3, 2019
Institute 2: Proportional Reasoning
Researchers in mathematics education agree on the importance of developing strong proportional reasoning in the middle grades. Proportional reasoning is described as a pivotal concept, simultaneously the capstone of children's elementary school arithmetic and the cornerstone of all that is to follow. Proportional reasoning is difficult to develop because it requires students to make significant shifts in thinking. Students must transition from using mostly additive strategies, which are emphasized throughout elementary school, to strategies that are multiplicative. The Institute will explore the Ratios and Proportional Relationships Domain of the AERO Mathematics Standards and will focus on thinking about proportional relationships through multiple representations, such as tape diagrams, double number lines, ratio tables, graphs, equations, and verbal descriptions.
Participants will:
- Explore the progression of reasoning with ratios and proportional relationships.
- Adapt, develop meaningful tasks that will increase students’ understanding of ratios and proportional relationships.
- Explore classroom-based formative assessment techniques and tools which can be used to plan, implement, and reflect on both teaching and student learning;
- Critically examine student work from participant classrooms for misconceptions to help in making informed.
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