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cdw3lch/README.md

Christopher Welch

Mathematics curriculum & learning designer

I bring together 11+ years of secondary mathematics teaching, 13 years of external examining for Pearson Edexcel IGCSE Further Pure Mathematics, and an M.Ed. in Education Technology & Instructional Design.

I design accessible mathematics learning experiences, assessments, and curriculum structures that make learner reasoning visible and complex ideas easier to understand.


▶ Portfolio — Interactive Mathematics & Learning Design

Live case studies and interactive explainers you can explore in the browser:

  • Designing an Online Calculus Skill
    A production-oriented skill design built around the derivative from first principles, including item progression, misconception-mapped distractors, feedback, accessibility, validation, and handoff considerations.

  • Reasoning-Aware Practice
    Three working prototypes that collect better evidence about where a learner’s mathematical reasoning may have broken down, rather than only marking the final answer right or wrong.

  • From Arrays to Factoring
    A vertical-articulation audit tracing the distributive property from elementary arrays through Algebra 1 factoring.

  • One Learner, Three Systems
    A cross-system curriculum prototype mapping one learner’s proportional-reasoning pathway across the United States, England, and New Zealand.

  • Rugby League 101
    A learner-research-driven onboarding design for the San Diego Barracudas Rugby League club.

  • Getting Started with Web3
    A self-paced introductory course developed as my M.Ed. capstone for learners with little or no prior blockchain experience.

  • Interactive Mathematics Explainers
    Browser-based visual explanations covering completing the square, signed-number multiplication, the derivative from first principles, and the sum of the first n odd numbers.


What I Do

  • Mathematics curriculum and learning-progression design
  • Assessment and item development
  • Misconception analysis and diagnostic feedback
  • Interactive mathematics explanations and prototypes
  • Standards alignment and vertical-articulation analysis
  • Accessible and inclusive digital learning design
  • LMS-based course and learning-experience development
  • Technical and emerging-technology education

I am especially interested in work that requires both subject-matter judgment and learning-design execution: deciding what should be taught, in what order, through which representations, and with what evidence of understanding.


Background

  • M.Ed., Education Technology & Instructional Design
  • PGCE, Secondary Mathematics with Qualified Teacher Status
  • Subject Knowledge Enhancement, Mathematics
  • B.Sc. (Hons), Economics
  • 11+ years teaching secondary mathematics in the United Kingdom and New Zealand
  • 13 years as an external examiner for Pearson Edexcel IGCSE Further Pure Mathematics

Tools & Technologies

Learning design

Articulate Storyline · Rise · Canvas · Camtasia · Figma · LaTeX

Web and prototyping

HTML · CSS · JavaScript · GitHub · GitHub Pages

Areas of continued development

Blockchain · DeFi · Smart contracts · Emerging technologies

Mathematics and education are natural strengths, but I am comfortable learning unfamiliar technical subject matter and translating it into something other people can understand and use.


Contact

Portfolio LinkedIn ORCID

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