AI literacy & verification
Use machine output critically, test its claims, decide when a tool belongs, and retain intellectual ownership.
A framework for the future of mathematics education
MODERN
MATHEMATICS
Teaching, Learning, and Leading in the Age of AI
Rethinking Curriculum, Data, Standards, and Assessment for the K–12 Mathematics Classroom.
16Chapters
22Practical appendices
9Course frameworks
475Pages
The central challenge
An answer is not the same as judgment.
A student types a problem into an AI system and gets an answer in seconds. Sometimes it is right. Sometimes it is incomplete. Sometimes it is confidently wrong. Knowing the difference is now a mathematical skill—and it changes everything about what a mathematics education must do.
Modern Mathematics does not argue for less mathematics. It argues for mathematics held to a higher standard: students who can not only produce answers but judge them—asking what assumptions were made, what evidence supports the result, what uncertainty remains, and what human decision still has to be made once the computation is done.
The book calls that expanded capability mathematical agency—the ability to use mathematical knowledge, evidence, tools, and judgment to make and defend quantitative decisions.
Inside the framework
More than an AI book. A blueprint for a coherent mathematics system.
Systems respond to change by adding programs. The result is innovation without coherence. Modern Mathematics treats standards, curriculum, instruction, assessment, instructional materials, data, technology, AI, teacher expertise, pathways, equity, and governance as parts of one design.
Data science & modeling
Reason with authentic evidence, variability, uncertainty, competing models, and defensible conclusions.
Assessment with meaning
Distinguish polished output from genuine reasoning—and show what students can do independently.
HQIM & system coherence
Let high-quality instructional materials provide the spine that technology strengthens rather than fragments.
Explore the book
Four parts. One path from classroom practice to system design.
Rethinking Mathematics
- 01The Modern Mathematics Classroom
- 02What Mathematics Matters in the Modern World
- 03Artificial Intelligence in the Modern Mathematics Classroom
- 04Data Science and the New Mathematics of Evidence
Building Modern Instruction
- 05High-Quality Instructional Materials in the Age of AI
- 06Teaching Mathematics in the Modern Classroom
- 07Assessment in the Modern Mathematics Classroom
- 08Mathematics Beyond the Classroom
Redesigning the Mathematics System
- 09Reimagining Mathematics Standards, Frameworks, and Policy for the Modern Era
- 10The Modern Mathematics Graduate
- 11Building the Modern Mathematics System
- 12The Future of Mathematics Education
From Vision to Infrastructure
- 13The Modern Mathematics Teacher
- 14Equity, Access, Ethics, and Opportunity to Learn
- 15Governing Mathematics in the AI Era
- 16The Modern Mathematics Framework
Grades 6–8Foundations, proportional reasoning, geometry, statistics, and responsible tool use
→
High School PathwaysAlgebra I · Geometry · Algebra II · Integrated Mathematics I–III
→
The Modern Mathematics GraduateModeling, data and AI literacy, financial reasoning, and independent mathematics
22 practical appendices
Frameworks and tools built to move from reading to action.
Framework Foundations
The framework at a glance, the seven principles of modern mathematics, and how to read the course frameworks.
Nine Course Frameworks
Grade 6, Grade 7, Grade 8, Algebra I, Geometry, Algebra II, and Integrated Mathematics I, II, and III.
Classroom & Assessment Tools
Performance task rubric, AI use and assessment matrix, student AI use disclosure, and lesson design template.
Curriculum & System Tools
Curriculum review tool, opportunity-to-learn audit, governance scorecard, implementation roadmap, curriculum map, and graduate profile.
Who this book is for
For the people shaping what mathematics becomes next.
Both an argument and a toolkit, Modern Mathematics is written for everyone with a hand on the system—from the classroom to the state capitol.
Mathematics teachers and department teams
Instructional coaches and curriculum directors
Principals and district administrators
State education leaders and policymakers
Teacher educators and preparation programs
Instructional-materials and assessment developers
“The challenge facing mathematics education is no longer simply how to teach students to calculate. It is how to prepare them to reason, model, question, verify, and make responsible decisions in a world where machines can increasingly calculate for them.”
About the author
Physicist. Teacher. System leader.
Meinhart Mosqueda—“Mike” to those who know him—has spent his career in the places where mathematics is actually put to work: the physics laboratory, the secondary classroom, and the rooms where state standards are written and instructional materials are judged.
He began in High Energy Physics, designing cosmic ray detectors and writing the computational models that turned raw signals into evidence, while teaching university physics. He then spent fifteen years teaching secondary mathematics, physics, chemistry, computer science, and robotics across three states. Today, as a statewide Education Specialist, he provides technical assistance and oversight for 6–12 mathematics programs and has helped lead the revision of statewide mathematics standards and the adoption of high-quality instructional materials.
He is a member of the Association of State Supervisors of Mathematics (ASSM), the National Council of Supervisors of Mathematics (NCSM), and the Mathematics Advisory Council of the Smarter Balanced Assessment Consortium.
Policy by the NumbersThe Educational Leadership Survival GuideModern Mathematics
Ed.S., Educational Leadership, University of Idaho · M.Ed., Educational Administration, Grand Canyon University · M.A., Secondary Education, West Virginia University · M.S. and B.S., Physics, Mindanao State University
Coming soon from SmartWorks Education
Calculation is abundant.
Judgment is indispensable.
Paperback and eBook editions are on the way. Retail links will appear here as soon as publication details are final.