AECT Standards

AECT 2.2 Candidates implement appropriate educational technologies and processes based on appropriate content pedagogy.

Justification:

• Implemented constructivist and cognitivist theories of learning in "Design Elements" of both Math Puzzle and Fractions Units
• Student levels determined by previous understanding of mathematical concepts in Fractions Unit
• Math Puzzles module designed according to standards of mathematical practice
• Fractions Unit utilizes multimedia learning theories and technologies in instructional process by including videos, textual explanations, worksheets, digital manipulatives, and online assessments to facilitate learning

AECT 2.4 Candidates manage appropriate technological processes and resources to provide supportive learning communities, create flexible and diverse learning environments, and develop and demonstrate appropriate content pedagogy.

Justification:

• Both Math Puzzles and Fractions Unit contain student-driven discussion spaces to create a respectful learning community in which students are able to post questions, solutions, helpful resources, and related problems
• Fractions Unit offers multiple forms of assessments for each mini-module so students can choose the representation that best highlights their ability
• Fractions Unit uses multiple forms of information representations from which students can choose to form metacognitive understanding of successful learning strategies
• Both Fractions Unit and Math Puzzles rely on student choice to drive learning by allowing students to choose the representation format, assessments, and/or strategies implemented to solve the problems

AECT 3.1 Candidates create instructional design products based on learning principles and research-based best practices.

Justification:

• "Design Elements" outlines theories behind designing Math Puzzles website, including referencing constructivist and cognitivist theories of learning
• In Fractions Unit, students build upon prior knowledge and gradually add to repertoire of strategies to build in-depth understanding of Fractions knowledge, according to constructivist principles
• In Math Puzzles, students are encouraged to remember, understand, and then apply problem solving strategies across various puzzles, according to cognitivist strategies

AECT 4.1 Candidates collaborate with their peers and subject matter experts to analyze learners, develop and design instruction, and evaluate its impact on learners.

Justification:

• Collaborated with colleague to develop Math Puzzles website, which she used with students in 5th and 6th grade to supplement a math problem solving group while I was out of the classroom during Master's program
• Evaluated student needs to determine the necessity of additional math puzzle and problem solving practice
• Designed Math Puzzles and Fractions Unit according to mathematical, constructivist, cognitivist, and multimedia theories of learning