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Algebra and Fractions - PowerPoint PPT Presentation

Algebra and Fractions. Dr. Laura McLaughlin Taddei. Learning Goal: Students will develop and present various examples of developmentally appropriate math experiences for young children.

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Presentation Transcript

Algebra and Fractions

• Learning Goal: Students will develop and present various examples of developmentally appropriate math experiences for young children.

• Learning Goal: Students will develop, implement, assess, and modify curriculum and lessons for children from Pre-K through 4th grade using PA state standards and National standards if applicable.

• Learning Goal: Students will plan, implement, and adapt for all children appropriate developmental, cultural, and linguistic instructional practices and strategies.

Learning Outcomes

Algebraic Reasoning

Three Strands of Algebraic Reasoning

Generalizing

Practice – Stop and Reflect

• Let's Be Pattern Detectives teach children generalizations – what tools would you use to teach this?

• NCTM Illuminations Activity - Patch Tool

Finding games to teach math

Properties of Operations to Teach Children

Practice

Big Idea - Fractions

Introducing Fractions

Common Core State Standards

• Introducing children to part-whole – shading part of a whole that has been partitioned into equal parts

• Equal Sharing – initial instruction on fractions should focus on this – children have experience with this – create an equal sharing problem

• Measurement – Common Core standards recommend limiting measuring in K-2 to whole units, however, fractions emerge naturally – this also includes time – telling time to half hour or quarter hour and relating an hour to 60 minutes

Meanings of Fractions

• Partitioning – splitting or cutting a quantity equally whole that has been partitioned into equal parts

• Connecting informal knowledge of fair sharing to more formal fraction concepts is key to providing effective initial fraction instruction in K -2 grade

• Iterating – counting a repeated amount (unit or fraction)How many fourths are in one whole?

• Using models to teach fractions is important

Fractions are Numbers too

Create a Fraction Activity

Van de can use to teach fractions to childrenWalle, J., Lovin, L., Karp, K., Bay-Williams, J. (2014). Teaching student-centered mathematics. Second edition. Pearson Education.

Smith, S. (2013). Early childhood mathematics. Pearson Education

Resources