Our Goal

"Understanding Multiplication of Exponents"
To create an instructional sequence (a.k.a. lesson plan) featuring:
- different models to present the concept
- select problems to facilitate student understanding
- explanations to bring about student understanding
- common student misconceptions
- ways to address misconceptions
- connections to real world experiences
- connections among mathematical ideas

Lesson Plan for Junior-High School Exponents

Lesson Plan for Junior-High School Exponents
A concept-map of multiplication of exponents

Math Proficiencies

Five Strands of Math Proficiencies (NRC, 2001)
  • Conceptual understanding – and understanding of concepts, operations and relations.  Conceptual understanding frequently results in students comprehending connections and similarities to interrelated facts.
  • Procedural fluency – flexibility, accuracy and efficiency in implementing appropriate procedures.  Skill in proficiency includes the knowledge of when and how to use procedures.  This includes efficiency and accuracy in basic computations.
  • Strategic competence – the ability to formulate, represent and solve mathematical problems.  This is similar to problem solving.  Strategic competence is mutually supportive with conceptual understanding and procedural fluency.
  • Adaptive reasoning - the capacity to think logically about concepts and conceptual relationships.  Reasoning is needed to navigate through the various procedures, facts and concepts to arrive at solutions.
  • Productive disposition – refers to positive perceptions about mathematics. Productive dispositions develop as students gain more mathematical understanding and become capable of learning and doing mathematics.
National Research Council. (2001). Adding it up: Helping children learn mathematics. Kilpatrick, J., Swafford, J., & Findell, B. (Eds.). Mathematics Learning Study Committee, Center for Education, Division of Behavioral and Social Sciences and Education. Washington, DC: National Academy Press.