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Direct linkAbd-Elhameed, W. M.; Zeyada, N. A. – International Journal of Mathematical Education in Science and Technology, 2017
This paper is concerned with developing a new class of generalized numbers. The main advantage of this class is that it generalizes the two classes of generalized Fibonacci numbers and generalized Pell numbers. Some new identities involving these generalized numbers are obtained. In addition, the two well-known identities of Sury and Marques which…
Descriptors: Generalization, Numbers, Number Concepts, Number Systems
Bouck, Emily C.; Park, Jiyoon – Education and Training in Autism and Developmental Disabilities, 2020
Virtual manipulatives are an emerging intervention to support students with disabilities in mathematics. Through a multiple probe across participants design, researchers examined use of an intervention package consisting of a virtual manipulative (i.e., the Two-Color Counter app-based manipulative) and the system of least prompts (SLP) to support…
Descriptors: Computer Oriented Programs, Manipulative Materials, Assistive Technology, Prompting
Download full textTillema, Erik; Gatza, Andrew – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015
The study reported on in this paper is an interview study conducted with 20 7th and 8th grade students whose purpose was to understand the generalizations they could make about non-linear meanings of multiplication (NLMM) and non-linear growth (NLG) in the context of solving combinatorics problems. The paper identifies productive challenges for…
Descriptors: Middle School Students, Secondary School Mathematics, Generalization, Number Concepts
Dennis, Minyi Shih; Sorrells, Audrey McCray; Falcomata, Terry S. – Learning Disability Quarterly, 2016
This study used a multiple probe across participants design, replicated across two interventions and counterbalanced across participant groups to examine the effects of number sense intervention and extensive practice intervention on strategy transformation when students with mathematics learning disabilities (MLD) solved basic fact problems. In…
Descriptors: Learning Disabilities, Grade 2, Problem Solving, Intervention
McMartin, Kimberley; McMaster, Heather – Australian Primary Mathematics Classroom, 2016
As an alternative to looking solely at linear functions, a three-lesson learning progression developed for Year 6 students that incorporates triangular numbers to develop children's algebraic thinking is described and evaluated.
Descriptors: Elementary School Mathematics, Elementary School Students, Mathematics Instruction, Number Concepts
Asiru, M. A. – International Journal of Mathematical Education in Science and Technology, 2008
This note generalizes the formula for the triangular number of the sum and product of two natural numbers to similar results for the triangular number of the sum and product of "r" natural numbers. The formula is applied to derive formula for the sum of an odd and an even number of consecutive triangular numbers.
Descriptors: Numbers, Number Concepts, Mathematical Formulas, Generalization
Leake, Lowell; And Others – Mathematics Teaching, 1976
The relationships between arithmetic, geometric, and harmonic means and the root mean square of two numbers are examined. The problem of generalizing these relationships to three variables is discussed. (SD)
Descriptors: Algebra, Curriculum, Generalization, Inequalities
Peer reviewedFeinstein, Irwin K. – School Science and Mathematics, 1979
Numerous mathematical examples are presented which illustrate and raise questions about students' tendencies to overgeneralize. (BB)
Descriptors: Cognitive Processes, Concept Formation, Discovery Learning, Generalization
Peer reviewedReimer, Wilbert – Mathematics Teacher, 1989
Domino games are used to illustrate problem-solving techniques in a college principles-of-mathematics course. Students develop tables and use Pascal's triangle to find the total number of pips and the sum of numbers on the pieces. (DC)
Descriptors: Class Activities, College Mathematics, Critical Thinking, Discovery Learning
Pateman, Neil A., Ed; Dougherty, Barbara J., Ed.; Zilliox, Joseph T., Ed. – International Group for the Psychology of Mathematics Education, 2003
This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) Improving Decimal Number Conception by Transfer from Fractions to Decimals (Irita Peled and Juhaina Awawdy Shahbari); (2) The Development of Student Teachers' Efficacy Beliefs in Mathematics during…
Descriptors: Student Teachers, Mathematics Education, Teacher Effectiveness, Metalinguistics
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…
Descriptors: Program Effectiveness, Foreign Countries, Secondary School Students, Mathematics Instruction
