Overview
This course develops a calm, systematic approach to interpreting and solving mathematical word problems. Students examine how to identify questions, distinguish known and unknown quantities, extract relevant information, recognize missing or extraneous data, and organize solutions into manageable steps.
Core content includes arithmetic operations, fractions, measurement, money, time, geometry, comparisons, equal groups, rates, and elementary multi-step situations. Students translate verbal descriptions into diagrams, bar models, number lines, tables, and equations while selecting operations appropriate to the structure of each problem.
Instruction emphasizes read-and-retell strategies, visualization, estimation, pattern recognition, working backward, testing simpler cases, logical reasoning, and systematic checking. Collaborative think-alouds, error analysis, multiple-solution tasks, reflection prompts, and applied scenarios support mathematical communication, perseverance, interpretation of units and remainders, evaluation of reasonableness, and revision of incomplete or misleading solutions.
Learning Outcomes
- Identify known quantities, unknown quantities, relevant information, extraneous information, and insufficient information in mathematical word problems.
- Select and justify appropriate arithmetic operations and solution strategies for problems involving number, fractions, measurement, money, time, geometry, comparisons, equal groups, and rates.
- Represent verbal problem situations using diagrams, bar models, number lines, tables, equations, and other mathematically appropriate forms.
- Solve one-step and multi-step problems accurately using organized, repeatable procedures.
- Estimate results before calculating and distinguish exact answers from reasonable approximations.
- Interpret units, remainders, comparisons, and contextual constraints in completed solutions.
- Analyze errors, detect misleading assumptions, revise mathematical work, and verify solutions through independent checking.
- Synthesize multiple solution methods and communicate mathematical reasoning clearly in written, oral, and collaborative formats.
- Evaluate the reasonableness and completeness of solutions in unfamiliar and real-world contexts.
- Apply logical reasoning, persistence, and structured reflection to unfamiliar problem-solving tasks.
Timetable
| Type | Length | Frequency | Period |
|---|---|---|---|
| Lecture | 2 hours | Weekly | All semester |
| Tutorial | 1 hour | Weekly | All semester |
| Workshop | 2 hours | Fortnightly | All semester |
Assessment Schedule
| Type | Description | Weighting |
|---|---|---|
| Assignment | Problem Representation Portfolio | 20.00% |
| Assignment | Error Analysis and Revision Report | 15.00% |
| Tutorial | Collaborative Think-Aloud Task | 10.00% |
| Test | Practical Problem-Solving Test | 20.00% |
| Assignment | Multi-Step Applications Assignment | 15.00% |
| Exam | Final Examination | 20.00% |
Prerequisites
Teaching Staff & Programs
This course is delivered jointly by faculty from the participating programs listed below. In line with the Douchewater Way, the University of Sexology tailors core instruction directly to each cohort's specific discipline — adapting curriculum to program needs rather than forcing students into a one-size-fits-all model. Learn more about our approach at The Douchewater Way.
