Three Intertwined Aims
Collaborative construction of understanding through discourse, justification, and consensus.
Development of crucial learning skills such as communicating reasoning, questioning assumptions, and using evidence.
Productive struggle is treated as essential to sense-making and intellectual growth.
Five Key Design Features
Time is treated as a resource, allowing sustained and unrushed engagement with ideas.
Sequencing is deliberate, with tasks crafted to surface structure and reveal mathematical connections.
Critical discourse is normalized, encouraging disagreement, critique, and questioning.
Thinking is made visible through discourse and representations that anchor shared understanding.
Purposeful, lean coaching ensures guidance comes through carefully posed questions, positioning the teacher as a co-learner.
Three Interdependent Elements
Community grappling with complex problems that invite conjecture, intellectual risk-taking, and discussion. Learners contribute ideas without pressure for immediate correctness. Thought Exercises include the 100 Chart, Number Line, Analyzing Algorithms, Number Study, Quantitative Comparisons, and Translating Expressions and Equations.
Teacher-moderated discussions focused on developing understanding of specific mathematical concepts. Carefully sequenced prompts press learners to connect foundational mathematical ideas rather than isolated standards.
Collaborative problem solving in partnerships, often at vertical whiteboards, guided by shared reasoning and public representations. Thinking is visible, questioned, refined, and assessed in real time.
Access a more detailed description of the Generative Math Framework here.
