Program Overview
Core Source Deepnotes — Interactive Reading Guides
A
Arcavi · 1994
Symbol Sense: Informal Sense-Making in Formal Mathematics
The theoretical heart of MASL. Defines what it means to "read" mathematical notation with fluency — and why it must be taught.
Theory
S
Sfard · 2007
When the Rules of Discourse Change, But Nobody Tells You
Commognitive framework — mathematical thinking as a form of communication. The language-as-learning argument underlying MASL's entire design.
Theory
K
Ke & Newton · 2024
Mathematical Language Support in Worked Example Problems for English Learners
The closest existing parallel to what MASL does. Critical for positioning MASL's contribution in the literature.
ML Research
B
Barko-Alva & Chang-Bacon · 2023
Interrogating Sentence Frames as Pedagogical Support vs. Language Restriction
The overframing critique — directly challenges how MASL uses sentence frames. Knowing this argument makes the design defensible.
Critique
S
Swan · 2006
Collaborative Learning in Mathematics
Theoretical and empirical grounding for the card sort as an activity type. Card sorts produce more mathematical discussion than any other task format.
Collaborative Learning
Z
Zwiers et al. · 2017
Principles for the Design of Mathematics Curricula: Promoting Language and Content Development
The MLR (Mathematical Language Routine) framework — directly informs MASL's activity design and sentence frame structure.
Curriculum Design
M
Mezirow · 1997
Transformative Learning: Theory to Practice
Grounds the Math as Culture Read → Reflect beat. The historical reading is a disorienting dilemma; the reflection prompt completes the transformation cycle.
Reflective Writing
M
Moschkovich · 2015
Academic Literacy in Mathematics for English Learners
The ML theoretical frame for MASL. Establishes that mathematical communication requires explicit instruction in notation, oral language, and meaning — not just vocabulary.
ML Research
For reviewers: Each deepnote includes a full summary, glossary, key quotes, a short quiz for self-check, and reflection prompts. The program overview covers all design decisions and their research grounding. The capstone paper (PDF, submitted separately) is the formal academic document — these materials are provided as an interactive complement.