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Kertil, Mahmut; Küpcü, Ali Riza – International Journal of Mathematical Education in Science and Technology, 2021
This study investigates prospective elementary and secondary school mathematics teachers' ways of reasoning about differentiability at a point and corner points while working on a mathematical modelling activity. Adopting a multiple-case study design, the participants of the study were 68 prospective elementary school mathematics teachers enrolled…
Descriptors: Preservice Teachers, Mathematics Education, Elementary Education, Secondary Education
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Kapur, Manu – Instructional Science: An International Journal of the Learning Sciences, 2011
This paper replicates and extends my earlier work on productive failure in mathematical problem solving (Kapur, doi:10.1007/s11251-009-9093-x, 2009). One hundred and nine, seventh-grade mathematics students taught by the same teacher from a Singapore school experienced one of three learning designs: (a) traditional lecture and practice (LP), (b)…
Descriptors: Mathematics Education, Problem Solving, Foreign Countries, Grade 7
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Abramovich, Sergei; Ehrlich, Amos – Journal of Computers in Mathematics and Science Teaching, 2007
Inequalities are considered among the most useful tools of investigation in pure and applied mathematics; yet their didactical aspects have not received much attention in mathematics education research until recently. An important aspect of teaching problem solving at the secondary level deals with the notion of equivalence of algebraic…
Descriptors: Computer Software, Graphs, Misconceptions, Mathematics Education
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Lee, Kil S.; Marx, Wayne – Mathematics Teacher, 1983
Procedures to help algebra students solve problems more efficiently are discussed, using linear programing graphs. (MNS)
Descriptors: Algebra, Graphs, Mathematical Applications, Mathematics Instruction
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Marcus, B. Jerry – NASSP Bulletin, 1977
Suggests that before secondary principals can deal effectively with discipline problems, they should graph disciplinary incidents according to the school calendar in order to identify peak behavioral problem periods. (JG)
Descriptors: Behavior Patterns, Discipline, Discipline Problems, Graphs
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O'Connell, James – Physics Teacher, 1995
Explores strategies in the situation of a runner trying to evade a tackler on a football field. Enables the student to test intuitive strategies in a familiar situation using simple graphical and numerical methods or direct experimentation. (JRH)
Descriptors: Graphs, Motion, Physics, Problem Solving
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Ko, Raphael H.; Bean, Charles P. – Physics Teacher, 1991
Described is how the crumpling of paper balls exhibits the concept of a topological dimension similar to fractals. The mass of the crumpled paper ball is found to be proportional to its diameter raised to a nonintegral power. (KR)
Descriptors: Fractals, Graphs, Physics, Problem Solving
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Evans, Howard E. II – Physics Teacher, 1991
An exercise which relates particle scattering and the calculation of cross-sections to answer the following question--"Do you get wetter by walking or running through the rain?"--is described. The calculations used to answer the question are provided. (KR)
Descriptors: Geometry, Graphs, Learning Activities, Physics
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Farrell, Margaret A. – Mathematics Teacher, 1975
Intuition in mathematics is essential but it must be based on good knowledge of mathematics. An example related to velocity, time, and area is presented and discussed, with models, visual approaches, and geometric arguments noted. (Author/KM)
Descriptors: Algebra, Diagrams, Geometric Concepts, Graphs
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Haigh, William E. – Mathematics Teacher, 1986
Given is an example of the solution of maximum-minimum problems by replacing differentiation techniques with microcomputers and simple BASIC programs. (MNS)
Descriptors: Computer Software, Graphs, Mathematics Instruction, Measurement
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Kalman, Richard – New York State Mathematics Teachers' Journal, 1996
This article presents problems to challenge students over and above the standard curriculum problems assigned at a Course I level. Every additional problem in the article can be solved using only the tools provided by Course I. (AIM)
Descriptors: Algebra, Geometry, Graphs, Mathematics Curriculum
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Burrill, Gail – NASSP Bulletin, 1997
Algebra, an important skill, provides a way to represent situations so they can be analyzed carefully. In the new algebra classroom, students will listen and talk to one another while learning to understand problems and devise solutions. Teachers will organize tasks (involving graphing, rating, and ranking techniques) to help students discover the…
Descriptors: Algebra, Graphs, Mathematics Instruction, Mathematics Teachers
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Callejo, Maria Luz – Educational Studies in Mathematics, 1994
Reports, in French, an investigation on the use of graphic representations in problem-solving tasks of the type in Spanish Mathematical Olympiads. Analysis showed that the choice and interpretation of the first graphic representation played a decisive role in the discovery of the solution. (34 references) (Author/MKR)
Descriptors: Diagrams, Geometry, Graphs, Heuristics
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Ruppel, Elizabeth – Mathematics Teacher, 1982
It has been found that students gain much greater insight into routine calculations with business formulas when such work is viewed in the light of graphing concepts. Ten problems are presented that illustrate how three specific objectives in a unit on graphing in a business mathematics course have been met. (MP)
Descriptors: Equations (Mathematics), Graphs, Instruction, Mathematical Applications
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Kalman, Dan; Mitchell, Charles E. – School Science and Mathematics, 1981
An alternative application of logarithms in the high school algebra curriculum that is not undermined by the existence and widespread availability of calculators is presented. The importance and use of linear relationships are underscored in the proposed lessons. (MP)
Descriptors: Algebra, Graphs, Mathematical Concepts, Mathematics Instruction
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