TExES Mathematical Proof and Reasoning Review for Beginners – TExES 235 Math Study Guide & Practice Tests

Becoming a teacher means proving you know the mathematics you will teach. TExES Mathematical Proof and Reasoning Review for Beginners is written for exactly that moment: a beginner-friendly guide to the TExES Mathematical Proof and Reasoning (test 235) with lessons that explain the reasoning, worksheets and answer keys after every chapter, and two practice tests with detailed explanations.

For busy future teachers

What is inside

• 12 content chapters covering the TExES Mathematical Proof and Reasoning (test 235)
• 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 250-page PDF, available to download the moment your order is complete

How the chapters are organized

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.

Who it helps

Designed for future teachers preparing for the TExES Mathematical Proof and Reasoning (test 235) in Texas. It also works for teacher-education students, substitute and paraprofessional staff moving toward full licensure, and tutors supporting candidates — anyone who wants a clear path through the mathematics without gaps.

How to study with it

Pick a steady pace — a chapter every few days works well — and finish each chapter’s worksheets before moving on. Use the answer keys to find exactly where a solution went wrong. Finish with the two practice tests, one per sitting, and read every explanation, including the ones you got right.

Helpful links

National context on teacher preparation is available from the U.S. Department of Education and the National Center for Education Statistics. Check your state’s current licensure testing requirement before you register. For more from Mathfa, see the Mathfa Texas math learning page, TExES Mathematics 4-8 for Beginners, and the full Mathfa library.

Frequently asked questions