MTTC Discrete Mathematics Review for Beginners – MTTC 131 Math Study Guide & Practice Tests

Walk into the MTTC Discrete Mathematics knowing the mathematics, not hoping for the best. MTTC Discrete Mathematics Review for Beginners rebuilds every topic from the beginning across 12 content chapters, gives you worksheets with complete answer keys after each one, and finishes with two practice tests and detailed explanations — all in one printable 248-page PDF.

What this book helps you do

Inside the book

• 12 content chapters covering the MTTC Discrete Mathematics (test 131)
• Clear lessons that build each topic one idea at a time
• Worksheets after every chapter, with complete answer keys
• Two practice tests with an answer sheet, answer key and detailed explanations
• Includes Symbolic Logic, Truth Tables, and Valid Arguments; Graphs, Vertices, Edges, and Their Representations; and The History and Cultural Development of Mathematics
• Printable 248-page PDF, available to download the moment your order is complete

Topics covered

The book moves one chapter at a time through Sets, Relations, and Discrete Structures; Symbolic Logic, Truth Tables, and Valid Arguments; Methods of Mathematical Proof; Mathematical Induction, Recursion, and Iteration; Number Theory and Modular Arithmetic; Counting, Combinatorics, and the Pigeonhole Principle; Graphs, Vertices, Edges, and Their Representations; Trees, Networks, and Optimization Algorithms; Linear Programming and Discrete Optimization; Discrete Models, Matrices, and Algorithms; Axiomatic Systems, Finite Geometries, and Non-Euclidean Geometry; and The History and Cultural Development of Mathematics. Every chapter ends with worksheets and a full answer key, and the final chapter holds the two practice tests with an answer sheet, answer key and detailed explanations.

Built for

Future teachers preparing for the MTTC Discrete Mathematics (test 131) in Michigan; students in teacher-preparation programs; adults returning to mathematics after a long break; and tutors and instructors who want structured lessons with worksheets and answer keys they can use immediately.

Getting the most from it

Read each lesson with a pencil in hand and redo the examples on your own before you look at the worksheet. Check every worksheet against the answer key the same day. Save the two practice tests for the end, take them timed, and use the explanations to decide which chapters to review before your test date.

Before you register

Licensure rules vary by state and change, so confirm your requirement first. The U.S. Department of Education and the National Center for Education Statistics are good national references. On Mathfa, visit the Mathfa Michigan math learning page, see MTTC Mathematics 5-9 for Beginners, or explore the full Mathfa library.

Frequently asked questions