Western Governors University

D899: Statistics for Secondary Mathematics Teaching

A study guide to the undergraduate Statistics for Secondary Mathematics Teaching course at WGU, on data, study design, sampling, inference and probability.

Updated October 2026 · 5 min read

Statistics for Secondary Mathematics Teaching at Western Governors University (WGU) prepares maths teachers to teach data and probability. It goes beyond calculations to the reasoning behind them.

WGU describes summarizing and representing data, study design, sampling, testing claims, drawing conclusions and probability, with attention to misconceptions and how students think. Students often know how to compute a mean but struggle to explain what a sample can and cannot tell us.

Course at a Glance

ItemDetails
UniversityWestern Governors University (WGU)
Course codeD899
LevelUndergraduate (BS Mathematics Education, Secondary)
Size3 competency units in the 202402 program guide
PrerequisitesThe 202402 guide lists Calculus I and Probability and Statistics I and II; the current description says none. Check your degree plan.
Typical workContent explanations, misconception analysis, instructional plans for data and probability

What D899 Covers

Competency theme (WGU wording, summarized)What it means in practice
Historical development and diverse perspectives on statistics and probabilityWhere ideas came from and why they matter to students
Instructional practices to support and assess learningTasks that reveal reasoning about data
Technology to support and assess learningSimulations and software for exploring variability
Conceptual underpinnings, misconceptions and student thinkingCommon errors in sampling, chance and inference

Key Concepts Explained

Random Sampling Versus Random Assignment

Random sampling lets us generalize from a sample to a population. Random assignment in an experiment supports claims about cause and effect. Students often blur the two.

Example: A teacher surveys 40 randomly chosen students from a school of 800 to estimate favorite lunch choices. That is random sampling, so the results can reasonably be generalized to the school. If she instead randomly splits volunteers into two groups to test two study methods, that is random assignment, which supports a cause-and-effect claim about the methods for those volunteers.

Chance Has No Memory

After five heads in a row, the next fair coin toss is still 50 percent heads. The gambler's fallacy treats random events as self-correcting. A simulation of many tosses shows the long-run proportion settling while individual runs stay random.

Variability

Sample statistics vary from sample to sample. Teaching this with repeated simulated samples helps students see that a single sample is one of many possible results.

Typical Assignments and How to Approach Them

Task typeWhat it testsHow to approach it
Concept explanationConceptual depthDefine the idea, give an example and say why it matters in context
Misconception analysisStudent thinkingState the error, a plausible reason for it and a task that challenges it
Study design critiqueEvaluating claimsCheck sampling, assignment, bias and what conclusion is justified
Instructional plan with technologyUsing tools for understandingDescribe the simulation, prompts and what students should conclude

Designing a Study: A Checklist

Many tasks ask you to design or critique a study. Use these questions in order.

QuestionWhy it mattersTypical flaw
Who is the population?Defines who conclusions apply toVague or shifting population
How is the sample chosen?Random selection limits biasVolunteer or convenience sample
Is there a comparison group?Allows fair comparisonNo control or comparison
Was assignment random?Supports causal claimsClaiming causation from observation

For a worked sense of the numbers, the guide on statistics assignment help covers methods in more general terms.

Teaching Informal Inference

Before formal tests, students can reason about whether a result is surprising. A hands-on version uses simulation.

Example: A class claims that a coin lands heads more than half the time because it came up heads 14 times in 20 tosses. Students simulate many sets of 20 fair-coin tosses and record the number of heads. They see that 14 or more is uncommon but happens, so the evidence is suggestive, not conclusive. Your plan would describe the simulation, the questions you ask and the conclusion you want students to state.

History and Perspectives in Statistics

WGU's description includes the historical development of statistics and probability and perspectives from diverse cultures. Use this to explain why ideas exist, such as how questions about games of chance helped shape probability.

When a task asks for a historical connection, choose one idea, summarize its origin in two or three sentences and link it to a lesson. A short sampling or chance activity that echoes the original problem keeps the history connected to learning.

Where Students Get Stuck

Study Tips for D899

How We Help with D899

Send the prompt, rubric and grade band. A statistics-literate writer prepares a model explanation, reviews your plan or tutors you through the concepts.

GradeEssays is independent of WGU. Our work is a study and reference aid. Use it to learn, 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 D899 Task

Share the prompt and rubric. A statistics writer prepares a worked model you can study.

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Frequently Asked Questions

What does D899 cover?

Summarizing and representing data, study design, sampling, testing claims, drawing conclusions and probability, with attention to misconceptions.

How is D899 different from D905?

D899 is the undergraduate course; D905 is the graduate version with resource curation and an instructional plan at the center.

Are there prerequisites?

The 202402 BS guide lists Calculus I and Probability and Statistics I and II, while WGU's newer description says none. Check your degree plan.

Do I need statistical software?

Technology is part of the course. Check your task for the tool required.

What is the gambler's fallacy?

The belief that past random outcomes change future ones. Independent events do not.

Can you help with my statistics task?

Yes. Send the task and rubric and we prepare a model or review your draft.