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Mathematical Modelling as a Vehicle for Eliciting Algorithmic Thinking
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Timothy H. Lehmann – Educational Studies in Mathematics, 2024
Developing students' competence in algorithmic thinking is emerging as an objective of mathematics education, but despite its inclusion in mathematics curricula around the world, research into students' algorithmic thinking seems to be falling behind in this curriculum reform. The aim of this study was to investigate how the mathematical modelling…
Descriptors: Mathematical Models, Algorithms, Thinking Skills, Mathematics Instruction
Study of Modeling Questions in a First-Year University Mathematics Online Course
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Ramírez-Sánchez, Camilo Andrés; Romo-Vázquez, Avenilde; Romo-Vázquez, Rebeca; Velásquez-Rojas, Diana – Educational Studies in Mathematics, 2023
The training of non-specialists, particularly engineers, in mathematics requires designing specific didactic proposals that make the importance of mathematics evident. One approach to creating such proposals consists in analyzing the mathematics used in authentic contexts of engineering research and then effectuating a didactic transposition to…
Descriptors: Undergraduate Students, Mathematics Instruction, Engineering, Teaching Methods
Facility Location Problems.
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Buckley, Fred – College Mathematics Journal, 1987
Mathematical models that are used to solve facility location problems are presented. All involve minimizing some distance function. (MNS)
Descriptors: Algorithms, College Mathematics, Functions (Mathematics), Higher Education
Positioning of Emergency Facilities in an Obstructed Traffic Grid.
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Cronk, Jeff; And Others – College Mathematics Journal, 1987
Algorithms to determine the optimal locations of emergency service centers in a given city are presented, with theorems and proofs. (MNS)
Descriptors: Algorithms, College Mathematics, Higher Education, Mathematical Models
From Greeks to Today: Cipher Trees and Computer Cryptography.
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Grady, M. Tim; Brumbaugh, Doug – Journal of Computers in Mathematics and Science Teaching, 1988
Explores the use of computers for teaching mathematical models of transposition ciphers. Illustrates the ideas, includes activities and extensions, provides a mathematical model and includes computer programs to implement these topics. (MVL)
Descriptors: Algorithms, Cryptography, Instructional Materials, Integrated Activities
Technology Tips: Spreadsheets--a Tool for the Mathematics Classroom.
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Hunt, William J. – Mathematics Teacher, 1995
Shows how to model Newton's method for approximating roots on a spreadsheet. (MKR)
Descriptors: Algorithms, Computation, Computer Uses in Education, Mathematical Concepts
Using History in Teaching Mathematics.
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Katz, Victor J. – For the Learning of Mathematics, 1986
Some concrete examples of the use of historical materials in developing certain topics from precalculus and calculus are presented. Ideas which can be introduced with a reformulated curriculum are discussed in five areas: algorithms, combinatorics, logarithms, trigonometry, and mathematical models. (MNS)
Descriptors: Algorithms, Calculus, College Mathematics, Higher Education
NAEP Note: Problem Solving.
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Carpenter, Thomas P.; And Others – Mathematics Teacher, 1980
Student weaknesses on problem-solving portions of the NAEP mathematics assessment are discussed using Polya's heuristics as a framework. Recommendations for classroom instruction are discussed. (MP) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).
Descriptors: Algorithms, Experiential Learning, Mathematical Models, Mathematics Curriculum
Discrete Mathematics across the Curriculum, K-12. 1991 Yearbook.
Kenney, Margaret J., Ed.; Hirsch, Christian R., Ed. – 1991
This yearbook provides the mathematics education community with specific perceptions about discrete mathematics concerning its importance, its composition at various grade levels, and ideas about how to teach it. Many practical suggestions with respect to the implementation of a discrete mathematics school program are included. A unifying thread…
Descriptors: Algorithms, Computer Uses in Education, Elementary Secondary Education, Graphs
Understanding, Doing, and Teaching Multiplication.
Lampert, Magdalene – 1985
The concept of multiplication is described and illustrated using several different representational systems. A conceptual approach to teaching mathematics is compared with the procedural approach commonly found in the school curriculum. Four different methods of representing the multiplication process with numbers larger than ten are presented:…
Descriptors: Algorithms, Cognitive Processes, Computation, Educational Research
The Learning of Number Facts in the Primary School. Curriculum Paper.
Boxall, Ron; And Others – 1979
This paper is designed to provide teachers with more guidance on how to help students become proficient in the recall of basic number facts. Activities and practices are placed in a sequence designed to aid all instructors. The learning of number facts is divided into three stages: (1) the development of basic number facts; (2) establishing number…
Descriptors: Algorithms, Basic Skills, Drills (Practice), Educational Games