Geometry for Secondary Mathematics Teaching at Western Governors University (WGU) is the graduate version in the Master of Arts in Teaching, Mathematics Education (Secondary). It focuses on designing and teaching geometry, using tools like GeoGebra and Desmos.
WGU describes geometric reasoning, transformations, congruence, similarity and coordinate geometry, and asks candidates to create activities that address misconceptions and support diverse learners. The skill under test is design: building a task that makes students think.
Course at a Glance
| Item | Details |
|---|---|
| University | Western Governors University (WGU) |
| Course code | D903 |
| Level | Graduate (MAT Mathematics Education, Secondary) |
| Size | 2 competency units in the MAT guide (catalog version 202504) |
| Subject area | Geometry teaching and technology |
| Typical work | Activity design, technology-based lessons, task-based instruction |
What D903 Covers
| Competency (WGU wording, summarized) | What it means in practice |
|---|---|
| Apply advanced geometric methods to the secondary classroom | Using core geometric concepts to teach, not just solve |
| Create an activity using learning technology that engages students and addresses misconceptions | A dynamic geometry task with purpose |
| Design activities and tasks using common resources and technologies that foster understanding of geometry and student thinking | Tasks with clear prompts and expected responses |
| Implement task-based instructional strategies that engage students in hands-on learning | Lessons built around investigation |
Key Concepts Explained
Designing a Dynamic Task
A good task has a clear question, something to manipulate and something to notice. Ask students to predict first, then explore, then explain.
Example: In GeoGebra, students construct a segment AB, its midpoint and the perpendicular bisector, then place a point P on the bisector and measure PA and PB. As they drag P, the two measures stay equal. The task asks them to state a conjecture, test it with a new segment and then justify it using congruent triangles. The technology reveals the pattern, and the reasoning proves it.
Misconceptions as a Design Input
Choose a misconception and design to expose it. For example, students may think a figure's name depends on its orientation. A task that rotates a square so it looks like a diamond challenges that.
Task-Based Instruction
Launch the task, let students work, then run a discussion that connects strategies. Plan who you will ask to share and in what order.
Typical Assignments and How to Approach Them
| Task type | What it tests | How to approach it |
|---|---|---|
| Technology activity | Purposeful design | State the goal, steps, prompts and expected student ideas |
| Misconception-focused lesson | Responding to student thinking | Name the error, why it arises and the task that challenges it |
| Task sequence | Building understanding over time | Order tasks from exploration to formalization |
| Implementation reflection | Evaluating your design | Describe what you would look for and what you would change |
Activity Design Template
Fill in this template before drafting the written task.
| Element | Prompt to answer |
|---|---|
| Goal | What should students understand by the end? |
| Misconception | Which common idea will this expose? |
| Tool action | What do students drag, measure or construct? |
| Questions | Predict, observe, explain: what exactly will you ask? |
| Evidence | What response shows understanding? |
Anticipating Student Responses
Designing a task includes predicting what students will say and do. Build a short table into your plan.
| Likely response | What it shows | Your next question |
|---|---|---|
| Measures PA and PB and finds them equal for one position of P | Pattern noticed from a single case | What happens when you drag P to other positions? |
| Says the result is true "because it looks it" | Needs a reason | Can you find two congruent triangles? |
| Cannot start the construction | Tool or concept barrier | What does the midpoint tool give you? |
Choosing Between GeoGebra and Desmos
The WGU description names both tools. Pick the one that suits the task and say why.
| Need | Often suits | Reason |
|---|---|---|
| Constructions, transformations, measurement | GeoGebra | Dynamic geometry with measurement tools |
| Graphing, coordinates, sliders | Desmos | Quick graphs and parameter exploration |
| Classroom sharing and student prediction | Either | Depends on the platform features your school has |
State the tool, the action students take and the idea they should reach.
Assessing Understanding
Close your activity with a way to check learning. A short written prompt works well, such as "Explain why every point on the perpendicular bisector is the same distance from both endpoints." Say what a complete answer includes and what a partial answer looks like.
Where Students Get Stuck
- Showing, not designing. Students need something to do and decide.
- No expected responses. Anticipate several student ideas, including wrong ones.
- Tool-heavy, thought-light. Every click should serve a question.
- Skipping justification. End with reasoning, not just observation.
Study Tips for D903
- Build two constructions in GeoGebra or Desmos and write the student prompts for each.
- Collect five geometry misconceptions with a challenging task for each.
- Plan the whole-class discussion, not just the individual work.
- Test your activity yourself and note where a student could get lost.
How We Help with D903
Send the prompt, rubric and grade band. A mathematics education writer prepares a model activity, reviews your design or helps you anticipate student responses.
GradeEssays is independent of WGU. Our work is a study and reference aid. Use it to learn the approach, then write and submit your own work under WGU's academic integrity policy. Orders are written from scratch, with free revisions within the scope of your original request and a full refund if late.
Make Sense of Your D903 Task
Share the prompt and rubric. A maths writer prepares a worked model activity you can study.
Start My D903 HelpFree revisions · Full refund if late · Written from scratch for your order
Frequently Asked Questions
WGU lists four: applying geometric methods in the classroom, creating a technology activity that addresses misconceptions, designing activities and tasks, and implementing task-based strategies.
2 in the MAT guide.
D895 is the undergraduate version. D903 is the graduate course with task design and technology at the center.
The WGU description names GeoGebra and Desmos.
A clear goal, a targeted misconception, purposeful tool use and prompts that lead to justification.
Yes. Send the task and draft and we check clarity, alignment and rubric coverage.