Math Education
The Architecture of Understanding: Teaching Elementary Mathematics
Mathematics
Elementary Education
Conceptual Learning
This comprehensive guide transforms elementary mathematics teaching from memorization to conceptual understanding, providing developmental approaches from number sense to advanced problem solving.
"The true art of teaching elementary math is to invite our children to be builders alongside us. It is to start with tangible, playful ideas and guide them as they discover how to construct the edifice of mathematical understanding."
Key Math Teaching Principles
- • Progress from concrete manipulatives to pictorial representations to abstract concepts
- • Frame operations as stories to make concepts intuitive and engaging
- • Use games rather than worksheets to build fluency with joy
- • Focus on deep understanding before pursuing computational speed
Literacy & Language
The Art of Illumination: A Guide to Teaching English Language Arts
Language Arts
Reading Instruction
Writing Development
Discover the deep art of teaching English Language Arts as a transformative educational journey that develops thoughtful minds and empathetic hearts through reading, writing, and meaningful discussion.
"Our goal is not merely to create students who can read, but students who do read, who choose to engage with the world through the rich tapestry of literature."
The Three Layers of Reading
- • Reading on the Line: Basic comprehension of what happened
- • Reading Between the Lines: Inference and analysis of why it happened
- • Reading Beyond the Lines: Synthesis and connection to personal life
Science Education
The Joy of Discovery: A Guide to Teaching Science with Wonder, Rigor, and Relevance
Science
Inquiry-Based Learning
STEM Education
Transform your science teaching from textbook memorization to dynamic, inquiry-based discovery that inspires curiosity, critical thinking, and a deep appreciation for the empirical process.
"To teach science is to give a child the keys to the universe. It is not the act of force-feeding them a dictionary of disconnected facts—it is the art of cultivating a particular way of seeing the world."
The 5E Instructional Model
- • Engage: Hook students with compelling questions or phenomena
- • Explore: Allow hands-on investigation and discovery
- • Explain: Provide vocabulary and concepts after experience
- • Elaborate: Apply understanding to new situations
- • Evaluate: Assess understanding through performance
Social Studies & History
The Citizen-Scholar: A Guide to Teaching Social Studies with Inquiry, Empathy, and Action
Social Studies
History
Civic Education
A comprehensive approach to teaching social studies through inquiry, empathy, and action that develops not just knowledge, but the skills of a historian, geographer, and engaged citizen.
"The role of the educator in this endeavor is not to be a dispenser of a single, authoritative narrative, but to be a curator of questions and a facilitator of inquiry."
The Four Dimensions of the Inquiry Arc
- • Developing Questions: Begin with compelling, open-ended questions
- • Applying Disciplinary Tools: Use the methods of historians and geographers
- • Evaluating Sources: Critically analyze primary and secondary sources
- • Taking Informed Action: Connect historical understanding to civic engagement