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Instructional Supports for Representational Fluency in Solving Linear Equations with Computer Algebra Systems and Paper-and-Pencil
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Fonger, Nicole L.; Davis, Jon D.; Rohwer, Mary Lou – School Science and Mathematics, 2018
This research addresses the issue of how to support students' representational fluency--the ability to create, move within, translate across, and derive meaning from external representations of mathematical ideas. The context of solving linear equations in a combined computer algebra system (CAS) and paper-and-pencil classroom environment is…
Descriptors: Mathematics Instruction, Mathematical Concepts, Algebra, Problem Solving
Construction of the Centimetre Using the Equation: x10 to the x power -1=0.
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Hawkins, Vincent J. – School Science and Mathematics, 1979
A graphical representation is used to construct a line one centimetre in length. (MP)
Descriptors: Algebra, Graphs, Instruction, Metric System
The Winds Are Variable: Student Intuitions about Variation
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Watson, Jane M.; Kelly, Ben A. – School Science and Mathematics, 2005
This study uses the context of the weather to explore the development of students' intuitive ideas of variation from pre-Grade 1 to Grade 9. Three aspects of understanding these intuitions associated with variation are explored in individual videotaped interviews with 73 students: explanations, suggestions of data, and graphing. The development of…
Descriptors: Foreign Countries, Science Education, Interviews, Weather
Some Curve Sketching Exercises
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Lindstrom, Peter A. – School Science and Mathematics, 1972
Descriptors: Calculus, College Mathematics, Graphs, Instruction
Logarithms in the Year 10 A.C.
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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
Sequences, Series, and Mathematica.
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Mathews, John H. – School Science and Mathematics, 1992
Describes how the computer algebra system Mathematica can be used to enhance the teaching of the topics of sequences and series. Examines its capabilities to find exact, approximate, and graphically generated approximate solutions to problems from these topics and to understand proofs about sequences. (MDH)
Descriptors: Calculus, Computer Assisted Instruction, Graphs, Mathematics Education
Models to Show the Impossibility of Division by Zero.
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Watson, Jane M. – School Science and Mathematics, 1991
The issue of division by zero is discussed. Activities that cover the topics of measurement division, partition division, relationship to fractions, confusion with dividing into zero, dividing zero by zero, and relation to more formal numbers are presented. (KR)
Descriptors: Division, Elementary Secondary Education, Fractions, Graphs
Solving Equations Today.
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Shumway, Richard J. – School Science and Mathematics, 1989
Illustrated is the problem of solving equations and some different strategies students might employ when using available technology. Gives illustrations for: exact solutions, approximate solutions, and approximate solutions which are graphically generated. (RT)
Descriptors: Algebra, Calculators, Computer Uses in Education, Computers
Writing in the Middle School Mathematics Classroom.
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Haggerty, Donald J.; Wolf, Susan E. – School Science and Mathematics, 1991
A list of potential writing ideas and general guidelines to be used in integrating writing into the mathematics classroom are provided. Ideas under the headings of narrative, descriptive, and expository writing are included. (KR)
Descriptors: Athletics, Classroom Environment, Creative Writing, Geometry