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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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Algebra and fractions

Algebra and Fractions

Dr. Laura McLaughlin Taddei


Learning outcomes

  • 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

Algebraic Reasoning


Three strands of algebraic reasoning

Three Strands of Algebraic Reasoning


Generalizing

Generalizing


Practice stop and reflect

Practice – Stop and Reflect


Finding games to teach math

  • 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

Properties of Operations to Teach Children


Practice

Practice


Big idea fractions

Big Idea - Fractions


Introducing fractions

Introducing Fractions


Common core state standards

Common Core State Standards


Meanings of fractions

  • 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


Fractions are numbers too

  • 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

Create a Fraction Activity


Resources

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


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