NotesFAQContact Us
Collection
Advanced
Search Tips
Showing 1 to 15 of 25 results Save | Export
Peer reviewed Peer reviewed
Direct linkDirect link
Edwards, Thomas G.; Chelst, Kenneth R. – Mathematics Teacher, 2019
While tutoring his granddaughter in second-year algebra recently, the second author lamented that every textbook he could find expresses the quadratic formula as probably the most common form of the formula. What troubled him is that this form hides the meaning of the various components of the equation. Indeed, the meaning was obscured by the…
Descriptors: Mathematics Instruction, Mathematical Formulas, Algebra, Teaching Methods
Peer reviewed Peer reviewed
Direct linkDirect link
Rebholz, Joachim A. – Mathematics Teacher, 2017
Graphing functions is an important topic in algebra and precalculus high school courses. The functions that are usually discussed include polynomials, rational, exponential, and trigonometric functions along with their inverses. These functions can be used to teach different aspects of function theory: domain, range, monotonicity, inverse…
Descriptors: Mathematics Instruction, High School Students, Secondary School Mathematics, Graphs
Peer reviewed Peer reviewed
Direct linkDirect link
Nirode, Wayne – Mathematics Teacher, 2017
Since the 1970s, the Mathematical Association of America's (MAA) journals "Mathematics Magazine" and "College Mathematics Journal" have published "Proofs without Words" (PWWs) (Nelsen 1993). "PWWs are pictures or diagrams that help the reader see why a particular mathematical statement may be true and how one…
Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Secondary School Mathematics
Peer reviewed Peer reviewed
Direct linkDirect link
Czocher, Jennifer A.; Moss, Diana L. – Mathematics Teacher, 2017
Why are math modeling problems the source of such frustration for students and teachers? The conceptual understanding that students have when engaging with a math modeling problem varies greatly. They need opportunities to make their own assumptions and design the mathematics to fit these assumptions (CCSSI 2010). Making these assumptions is part…
Descriptors: Mathematical Models, Problem Solving, Mathematics Instruction, High School Students
Peer reviewed Peer reviewed
Direct linkDirect link
Richardson, Janessa; Bachman, Rachel M. – Mathematics Teacher, 2017
This article describes a preservice teacher's imaginative exploration of completing the square through a process of reasoning and sense making. She recounts historical perspectives and her own discoveries in the process of completing the square. Through this process of sense making, she engaged with the content standard of completing the square to…
Descriptors: Preservice Teachers, Mathematics Instruction, Mathematical Concepts, Mathematical Logic
Peer reviewed Peer reviewed
Direct linkDirect link
Nirode, Wayne – Mathematics Teacher, 2016
A part of high school geometry is devoted to the study of parallelograms in the context of proving some of their properties using congruent triangles (CCSSI 2010). The typical high school geometry book's chapter on quadrilaterals focuses on parallelograms (e.g., their properties, proving that a given quadrilateral is a parallelogram, and special…
Descriptors: Geometry, Geometric Concepts, Mathematics, Mathematics Instruction
Peer reviewed Peer reviewed
Direct linkDirect link
Lockwood, Elise – Mathematics Teacher, 2014
Formulas, problem types, keywords, and tricky techniques can certainly be valuable tools for successful counters. However, they can easily become substitutes for critical thinking about counting problems and for deep consideration of the set of outcomes. Formulas and techniques should serve as tools for students as they think critically about…
Descriptors: Mathematics Instruction, Computation, Problem Solving, Mathematical Formulas
Peer reviewed Peer reviewed
Direct linkDirect link
Izydorczak, Mark E. – Mathematics Teacher, 2014
When designing lessons and units of study, teachers prepare problems that will make learning accessible, challenging, and targeted to goals. Experienced teachers often can predict classroom dialogue. This sense of déjà vu is even stronger when they teach the same course several times a day. The questions from the students are familiar and almost…
Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Teaching Methods
Peer reviewed Peer reviewed
Direct linkDirect link
Viro, Julia – Mathematics Teacher, 2014
Constructing viable arguments and reasoning abstractly is an essential part of the Common Core State Standards for Mathematics (CCSSI 2010). This article discusses the scenarios in which a mathematical task is impossible to accomplish, as well as how to approach impossible scenarios in the classroom. The concept of proof is introduced as the…
Descriptors: Mathematics Instruction, Mathematical Concepts, Validity, Mathematical Logic
Peer reviewed Peer reviewed
Direct linkDirect link
Yopp, David A. – Mathematics Teacher, 2013
This article describes a classroom activity with college sophomores in a methods-of-proof course in which students reasoned about absolute value inequalities. The course was designed to meet the needs of both mathematics majors and secondary school mathematics teaching majors early in their college studies. Asked to "fix" a false…
Descriptors: Mathematics Instruction, College Students, College Mathematics, Mathematical Concepts
Peer reviewed Peer reviewed
Direct linkDirect link
Reiter, Harold B.; Thornton, John; Vennebush, G. Patrick – Mathematics Teacher, 2013
KenKen® is the new Sudoku. Like Sudoku, KenKen requires extensive use of logical reasoning. Unlike Sudoku, KenKen requires significant reasoning with numbers and operations and helps develop number sense. The creator of KenKen puzzles, Tetsuya Miyamoto, believed that "if you give children good learning materials, they will think and learn and…
Descriptors: Mathematics Instruction, Mathematical Logic, Number Concepts, Mathematics Skills
Peer reviewed Peer reviewed
Direct linkDirect link
Nirode, Wayne – Mathematics Teacher, 2013
Although high school geometry could be a meaningful course in exploring, reasoning, proving, and communicating, it often lacks authentic proof and has become just another course in algebra. This article examines why geometry is important to learn and provides an outline of what that learning experience should be.
Descriptors: Geometry, Mathematics Instruction, High Schools, Secondary School Mathematics
Peer reviewed Peer reviewed
Direct linkDirect link
Trinter, Christine P.; Garofalo, Joe – Mathematics Teacher, 2013
When confronted with a challenging problem, many solvers may at first think that not enough information has been provided. If, however, they suspect that the problem is solvable, this feeling typically influences them to persevere as well as monitor and reflect on their efforts. In this article the authors present four nonroutine tasks that they…
Descriptors: Mathematics Instruction, Problem Solving, Word Problems (Mathematics), Academic Standards
Peer reviewed Peer reviewed
Direct linkDirect link
Gonzalez, Gloriana; DeJarnette, Anna F. – Mathematics Teacher, 2013
What does problem-based instruction do for students and teachers? The open-ended geometry problem presented in this article, along with examples of students' work on the problem, illustrates how problem-based instruction can help students develop their mathematical proficiency. Recent studies have shown that students who experience problem-based…
Descriptors: Mathematical Logic, Mathematics Instruction, Geometry, Geometric Concepts
Peer reviewed Peer reviewed
Direct linkDirect link
Muller, Kimberly O. – Mathematics Teacher, 2010
While serving in the U.S. Congress, Abraham Lincoln, a self-taught learner, mastered Euclid's Elements (Basler 1953). Most students today do not study mathematics for recreation. Unlike Lincoln, they need a little help in learning how to write a geometry proof. Today's technology--specifically, The Geometer's Sketchpad[R] (GSP)--can help make…
Descriptors: Secondary School Mathematics, Preservice Teachers, Mathematics Education, Geometry
Previous Page | Next Page »
Pages: 1  |  2