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Alves, Francisco Regis Vieira – Acta Didactica Napocensia, 2018

In Brazil we have identified a predilection of the authors of Mathematical History books for the discussion of the fundamentals of Differential and Integral Calculus. On the other hand, when we consider the teaching of Mathematics in the school context, it is essential to know the teaching of the historical and dynamic evolution of the concepts,…

Descriptors: Mathematics Instruction, Textbooks, History, Mathematical Concepts

Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2009

This tricentennial tribute commemorates Euler's major contributions to mathematical and physical sciences. A brief biographical sketch is presented with his major contributions to certain selected areas of number theory, differential and integral calculus, differential equations, solid and fluid mechanics, topology and graph theory, infinite…

Descriptors: Physical Sciences, Number Concepts, Topology, Calculus

Wang, J.; Lu, X. – ZDM: The International Journal on Mathematics Education, 2018

As a component of the ongoing development of the mathematics curriculum in China, we compare the country's high school mathematics textbooks with those of several other countries. We base our analysis on the assumption that textbooks, as primary printed teaching resources, are key tools for interpreting educational policy. In this paper, we…

Descriptors: Secondary School Mathematics, Textbooks, Comparative Analysis, Foreign Countries

Rash, Agnes M.; Winkel, Brian J. – PRIMUS, 2009

This paper describes details of development of the general birth and death process from which we can extract the Poisson process as a special case. This general process is appropriate for a number of courses and units in courses and can enrich the study of mathematics for students as it touches and uses a diverse set of mathematical topics, e.g.,…

Descriptors: Equations (Mathematics), Probability, Calculus, Mathematics Instruction

Smith, Trevor I.; Thompson, John R.; Mountcastle, Donald B. – Physical Review Special Topics - Physics Education Research, 2013

One goal of physics instruction is to have students learn to make physical meaning of specific mathematical expressions, concepts, and procedures in different physical settings. As part of research investigating student learning in statistical physics, we are developing curriculum materials that guide students through a derivation of the Boltzmann…

Descriptors: Science Instruction, Mechanics (Physics), Mathematics, Scientific Concepts

Bergwall, Andreas; Hemmi, Kirsti – Mathematical Thinking and Learning: An International Journal, 2017

Students' difficulties with proof, scholars' calls for proof to be a consistent part of K-12 mathematics, and the extensive use of textbooks in mathematics classrooms motivate investigations on how proof-related items are addressed in mathematics textbooks. We contribute to textbook research by focusing on opportunities to learn proof-related…

Descriptors: Foreign Countries, Comparative Education, Textbook Content, Mathematical Logic

Tesman, Barry – PRIMUS, 2012

Infinite series is a challenging topic in the undergraduate mathematics curriculum for many students. In fact, there is a vast literature in mathematics education research on convergence issues. One of the most important types of infinite series is the geometric series. Their beauty lies in the fact that they can be evaluated explicitly and that…

Descriptors: Geometric Concepts, Mathematics Curriculum, Probability, Calculus

Judd, Wallace – Mathematics Teaching in the Middle School, 2007

This reprinted article from the November 1976 issue of "Arithmetic Teacher" describes a series of calculator games suitable for all levels from kindergarten through calculus.

Descriptors: Educational Games, Calculators, Mathematics Instruction, Teaching Methods

Kolpas, Sid – MathAMATYC Educator, 2011

Augustus De Morgan (1806-1871) was a significant Victorian Mathematician who made contributions to mathematics history, mathematical recreations, mathematical logic, calculus, and probability and statistics. He was an inspiring mathematics professor who influenced many of his students to join the profession. One of De Morgan's significant books…

Descriptors: Probability, Algebra, Mathematical Formulas, Logical Thinking

Brehmer, Daniel; Ryve, Andreas; Van Steenbrugge, Hendrik – Scandinavian Journal of Educational Research, 2016

The aim of this study is to analyse how mathematical problem solving is represented in mathematical textbooks for Swedish upper secondary school. The analysis comprises dominating Swedish textbook series, and relates to uncovering (a) the quantity of tasks that are actually mathematical problems, (b) their location in the chapter, (c) their…

Descriptors: Problem Solving, Mathematics Instruction, Textbooks, Content Analysis

Downs, Nathan; Parisi, Alfio V.; Galligan, Linda; Turner, Joanna; Amar, Abdurazaq; King, Rachel; Ultra, Filipina; Butler, Harry – International Journal of Research in Education and Science, 2016

A short series of practical classroom mathematics activities employing the use of a large and publicly accessible scientific data set are presented for use by students in years 9 and 10. The activities introduce and build understanding of integral calculus and trigonometric functions through the presentation of practical problem solving that…

Descriptors: Mathematics Activities, Calculus, Trigonometry, Problem Solving

Burdman, Pamela – Policy Analysis for California Education, PACE, 2015

Since the mid-20th century, the standard U.S. high school and college math curriculum has been based on two years of algebra and a year of geometry, preparing students to take classes in pre-calculus followed by calculus. Students' math pursuits have been differentiated primarily by how far or how rapidly they proceed along a clearly defined…

Descriptors: Mathematics Instruction, College Readiness, High School Students, Mathematics Curriculum

Khalili, Parviz; Vasiliu, Daniel – International Journal of Mathematical Education in Science and Technology, 2010

In this note we present an extension of the mean value theorem for integrals. The extension we consider is motivated by an older result (here referred as Corollary 2), which is quite classical for the literature of Mathematical Analysis or Calculus. We also show an interesting application for computing the sum of a harmonic series.

Descriptors: Calculus, Mathematics Education, Mathematical Logic, Validity

Dion, Peter; Ho, Anthony – Australian Senior Mathematics Journal, 2013

This article describes what is often referred to as the dog, beetle, mice, ant, or turtle problem. Solutions to this problem exist, some being variations of each other, which involve mathematics of a wide range of complexity. Herein, the authors describe the intuitive solution and the calculus solution and then offer a completely new solution…

Descriptors: Problem Solving, Mathematics Instruction, Teaching Methods, Geometric Concepts

Kay, Robin; Kletskin, Ilona – Computers & Education, 2012

Problem-based video podcasts provide short, web-based, audio-visual explanations of how to solve specific procedural problems in subject areas such as mathematics or science. A series of 59 problem-based video podcasts covering five key areas (operations with functions, solving equations, linear functions, exponential and logarithmic functions,…

Descriptors: Video Technology, Higher Education, Mathematics Education, Calculus