NBPTS MC Math study materials
NBPTS MC Math study resources

NBPTS MC Math study plan

NBPTS MC Math · Give each week a clear focus.

8 weeks · About 7 hours per week

Week 1

Mathematics content and pedagogical content knowledge across the full developmental range of the certificate area

  • Inventory the full developmental range of the certificate area and map each band (early childhood through young adulthood, as applicable) to the mathematical content it demands.

  • Diagnose personal content gaps by self-testing on number and operations, algebraic thinking, geometry and measurement, and data/probability, then rank gaps by severity.

  • Build a one-page content map linking each mathematical strand to at least two grade-band examples you can teach from memory.

  • Establish a weekly study log template that tracks hours, topics, and confidence ratings so later weeks stay measurable.

Your checkpoint

A completed content-gap audit spreadsheet covering all strands and developmental bands, with each gap ranked and assigned a remediation date.

Week 2

Mathematics content and pedagogical content knowledge across the full developmental range of the certificate area

  • Close the top three ranked content gaps by studying worked examples and re-deriving each result without notes.

  • Explain at least four common student misconceptions in mathematics and describe the reasoning error behind each.

  • Connect each remediated topic to a pedagogical move (representation, model, or question sequence) you would actually use in class.

  • Practice translating a mathematical idea across two developmental levels to show vertical alignment.

Your checkpoint

A misconception-and-remediation log with four entries, each naming the error, its cause, and a specific instructional response.

Week 3

Evidence of accomplished practice documented through ePortfolio components

  • Deconstruct the ePortfolio requirements into a checklist of every required entry, artifact type, and written commentary prompt.

  • Select and annotate three candidate classroom artifacts that show student thinking, not just finished work.

  • Draft the analysis section of one entry, focusing on what the evidence shows about student learning and your instructional decisions.

  • Calibrate your writing against the rubric language by self-scoring one draft and listing concrete revisions.

Your checkpoint

One complete ePortfolio entry draft (artifact plus written commentary) with a self-scored rubric checklist attached.

Week 4

Evidence of accomplished practice documented through ePortfolio components & Alignment with the Five Core Propositions and Mathematics Standards

  • Draft the remaining ePortfolio entries, ensuring each one cites specific, dated evidence from your own practice.

  • Audit every draft against the Five Core Propositions, tagging where each proposition is evidenced and where it is missing.

  • Revise drafts to remove generic claims and replace them with observable, verifiable descriptions of practice.

  • Verify that artifacts respect confidentiality and permission requirements before submission.

Your checkpoint

All ePortfolio entries drafted and tagged to the Five Core Propositions, with a gap list of untagged propositions.

Week 5

Assessment center exercises scored against certificate-specific rubrics

  • Review the assessment center exercise formats and identify the response structure each rubric rewards.

  • Practice one timed exercise under real constraints and analyze where time was lost.

  • Write rubric-anchored responses that explicitly address each scoring dimension rather than narrating generally.

  • Peer-review or self-review two practice responses against the rubric and record specific score-lifting revisions.

Your checkpoint

Two timed practice responses with completed rubric score sheets and a written revision plan for each.

Week 6

Assessment center exercises scored against certificate-specific rubrics & Mathematics content and pedagogical content knowledge across the full developmental range of the certificate area

  • Complete a second round of timed exercises, targeting the content strands still weakest from week 1.

  • Integrate mathematical accuracy checks into every practice response so content errors do not undermine pedagogical reasoning.

  • Strengthen responses that require analyzing student work by naming the specific mathematical error and the next instructional step.

  • Reduce response time while maintaining rubric coverage.

Your checkpoint

A timed-exercise score tracker showing scores across at least three practice exercises and the trend from week 5 to week 6.

Week 7

Alignment with the Five Core Propositions and Mathematics Standards & Evidence of accomplished practice documented through ePortfolio components

  • Map each of the Five Core Propositions to concrete evidence in your portfolio and practice responses.

  • Cross-check your work against the Mathematics Standards for the certificate area and note any standard not yet addressed.

  • Revise the weakest ePortfolio entry using feedback and the proposition audit.

  • Rehearse articulating your instructional philosophy in concise, evidence-based language.

Your checkpoint

A completed alignment matrix pairing each Core Proposition and each relevant standard with a specific piece of evidence.

Week 8

Mathematics content and pedagogical content knowledge across the full developmental range of the certificate area & Assessment center exercises scored against certificate-specific rubrics & Alignment with the Five Core Propositions and Mathematics Standards

  • Run a full timed mock assessment under exam conditions and score it against the rubrics.

  • Revisit the week 1 gap audit and confirm every ranked gap is closed or consciously deprioritized.

  • Finalize and proofread all ePortfolio entries for clarity, evidence, and confidentiality compliance.

  • Build a one-page exam-day plan covering timing, response structure, and content checks.

Your checkpoint

A scored full mock assessment plus a finalized, submission-ready portfolio checklist and one-page exam-day plan.

Milestones

Week 2: Content-gap audit shows every strand addressed, with the top three gaps remediated and verified by unaided re-derivation.

Week 4: All ePortfolio entries exist in draft form and every draft is tagged to at least one Core Proposition.

Week 6: Timed practice scores show measurable improvement over week 5, with rubric coverage complete on every response.

Week 8: Full mock assessment scored against rubrics, alignment matrix complete, and portfolio submission-ready.