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Pamela Weber Harris; Cameron Harris, Contributor – Corwin, 2025
Author Pam Harris argues that teaching real math--math that is free of distortions--will reach more students more effectively and result in deeper understanding and longer retention. This book is about teaching undistorted math using the kinds of mental reasoning that mathematicians do. Memorization tricks and algorithms meant to make math…
Descriptors: Mathematics Instruction, Mathematical Logic, Mathematics Skills, Addition
Tupouniua, John Griffith – Journal of Pedagogical Research, 2023
A critical part of supporting the development of students' algorithmic thinking is understanding the challenges that emerge when students engage with algorithmatizing tasks--tasks that require the creation of an algorithm. Knowledge of these challenges can serve as a basis upon which educators can build effective strategies for enhancing students'…
Descriptors: Algorithms, Thinking Skills, Mathematics Skills, Task Analysis
Peer reviewedBohannon, Barbara; Michaels, Aileen – AMATYC Review, 1990
Provides four examples for testing the validity of logical arguments by using the method of truth trees. (YP)
Descriptors: Algorithms, College Mathematics, Higher Education, Logic
Peer reviewedSchoaff, Eileen; Rising, Gerald – Mathematics and Computer Education, 1990
Describes examples of rational representation as a guide for translating terminology and information encountered in manuals for computers. Discusses four limitations of the representation. (YP)
Descriptors: Algorithms, Computation, Decimal Fractions, Mathematical Applications
Peer reviewedJoyner, Virginia G.; Haggard, Paul W. – Mathematics and Computer Education, 1990
Discusses how to express an n factorial as a product of powers of primes. Provides two examples and answers. Presents four related suggestions. (YP)
Descriptors: Algorithms, College Mathematics, Computation, Division
Peer reviewedWood, Eric F. – Arithmetic Teacher, 1989
Presents an easy method for constructing magic squares from three-by-three to general squares. Provides a computer program generating odd-order magic squares. Six references are listed. (YP)
Descriptors: Algorithms, Computation, Computer Uses in Education, Elementary Education
Cauley, Kathleen M. – 1986
This paper presents an examination of the construction of logic in multidigit subtraction. Interviews were conducted with 90 grade 2 and grade 3 students to determine whether they understood the logic of borrowing and whether the construction of the logic was related to procedural expertise or corresponding conceptual knowledge. Of 34 students…
Descriptors: Algorithms, Concept Formation, Elementary School Mathematics, Fundamental Concepts
Clark, Kevin Andrew – 1991
The objectives of this research were to review existing computer-assisted instruction systems for propositional calculus proofs or elementary logic and to develop an instructional computer program that guides students in the valid construction of propositional calculus proofs. The system is unique in that it provides assistance at each step of the…
Descriptors: Algorithms, Calculus, College Mathematics, Computer Assisted Instruction
Burrows, Enid R. – 1990
This monograph is aimed at helping the reader understand the built-in logic of various calculator operating systems. It is an outgrowth of workshop contacts with in-service and pre-service teachers of mathematics and is in response to their request for a book on the subject of calculator logic systems and calculator algorithms. The mathematical…
Descriptors: Algorithms, Calculators, College Mathematics, Computation

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