In this project, you will explore the historical development of algebraic thinking and connect its evolution to modern-day teaching. By examining how algebra was approached in various cultures and time periods, you will design classroom activities that reflect both historical depth and developmentally appropriate practice for grades 46.
Historical Topics – Choose one topic below to focus your research and instructional design:
- Babylonian Algebra Geometric and numeric problem-solving without modern notation
- Egyptian Problem Solving – Method of false position and linear equations
- Greek Contributions Diophantus and symbolic beginnings in Arithmetica
- Indian Algebra Brahmaguptas work with zero, negative numbers, and solving quadratic equations
- Islamic Golden Age Al-Khwarizmi and the foundations of algebra
- European Renaissance Algebra Transition from rhetorical explanations to symbolic representations
Project Components – Your project must contain the four components indicated below.
1. Research Brief
In 500-750 words, provide a concise and clear explanation of the algebraic ideas from your chosen time period. Include the following:
- Background on the culture and mathematician (if applicable)
- Description of algebraic methods (verbal, geometric, symbolic)
- Historical examples or types of problems
- How these ideas contributed to the development of modern algebra
2. Teaching Activity or Mini-Lesson
In 500-750 words, plus visuals, design one or two developmentally appropriate activities or mini-lessons for students in grades 46, inspired by your historical research. Include the following:
- Grade level
- Alignment to a Common Core or state math standard
- Brief historical context (Age-appropriate)
- Engaging, hands-on activity or task to develop algebraic reasoning
- Materials or sample problems for students
- Visuals, manipulatives, or models (e.g., balance scales, function machines, patterns)
- Sample student problems or teacher script
3. Reflection Essay
Write 250-350 words responding to the following prompts:
- How did learning about algebras history affect your understanding of the subject?
- What insights did you gain about teaching algebra conceptually?
- How might you use historical storytelling or context to engage your students?
4. Bibliography and Citations
Assignment requires a minimum of three reputable sources, including at least one academic source or historical reference. Optional: include a link to childrens literature or teaching resource you drew from.
Suggested Milestones
To help pace the project, it is advised to complete the following by the end of:
- Topic 1: Topic selection and brief rationale
- Topic 2: Draft of research brief and outline of lesson
- Topic 3: Final submission (all components)
While APA style is not required for the body of this assignment, solid academic writing is expected, and documentation of sources should be presented using APA formatting guidelines, which can be found in the APA Style Guide, located in the Student Success Center.
This assignment uses a rubric. Please review the rubric prior to beginning the assignment to become familiar with the expectations for successful completion.
You are required to submit this assignment to LopesWrite. A link to the LopesWrite technical support articles is located in Class Resources if you need assistance.
Requirements: 700
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