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Barger, Rita H.; McCoy, Ann C. – Mathematics Teaching in the Middle School, 2010

This article presents an example of how middle school teachers can lay a foundation for calculus. Although many middle school activities connect directly to calculus concepts, the authors have decided to look in depth at only one: the concept of change. They will show how teachers can lead their students to see and appreciate the calculus…

Descriptors: Student Motivation, Middle Schools, Middle School Teachers, Calculus

Goodman-Petrushka, Sharon; Roitberg, Yael – 1988

This booklet contains 11 modules (290 multiple-choice items) designed for use in the first course of a three-course calculus sequence using the textbook "Calculus with Analytic Geometry" (Dennis G. Zill). In each module, relevant sections of the textbook are identified for users. It can, however, be used in conjunction with any calculus textbook.…

Descriptors: Analytic Geometry, Calculus, College Mathematics, Higher Education

Shepherd, Mary D.; Selden, Annie; Selden, John – Online Submission, 2011

This paper reports the observed behaviors and difficulties that eleven precalculus and calculus students exhibited in reading new passages from their mathematics textbooks. To gauge the effectiveness of these students' reading, we asked them to attempt straightforward mathematical tasks, based directly on what they had just read. These …

Descriptors: Reading Comprehension, Textbooks, Metacognition, Calculus

Halcrow, Cheryl; Dunnigan, Gerri – PRIMUS, 2012

This article describes a quantitative and qualitative assessment from a study done on the possible effectiveness of including an online homework component in first-semester calculus. Two instructors, each teaching two sections of Calculus I, agreed to treat one of their sections as an experimental group and the other as a control group. Students…

Descriptors: Homework, Feedback (Response), Control Groups, Experimental Groups

Seethaler, Sherry; Czworkowski, John; Wynn, Lynda – Journal of Chemical Education, 2018

Change over time is a crosscutting theme in the sciences that is pivotal to reaction kinetics, an anchoring concept in undergraduate chemistry, and students' struggles with rates of change are well-documented. Informed by the education scholarship in chemistry, physics, and mathematics, a research team with members from complementary disciplinary…

Descriptors: Chemistry, College Freshmen, Science Education, Textbook Content

Derouet, Charlotte; Parzysz, Bernard – ZDM: The International Journal on Mathematics Education, 2016

The teaching of probability has changed a great deal since the end of the last century. The development of technologies is indeed part of this evolution. In France, continuous probability distributions began to be studied in 2002 by scientific 12th graders, but this subject was marginal and appeared only as an application of integral calculus.…

Descriptors: Probability, Teaching Methods, Mathematics Instruction, Class Activities

Davydov, Aleksandr; Sturm-Beiss, Rachel – AMATYC Review, 2008

The orders of presentation of pre-calculus and calculus topics, and the notation used, deserve careful study as they affect clarity and ultimately students' level of understanding. We introduce an alternate approach to some of the topics included in this sequence. The suggested alternative is based on years of teaching in colleges within and…

Descriptors: Textbooks, Two Year Colleges, Calculus, Colleges

Kajander, Ann; Lovric, Miroslav – International Journal of Mathematical Education in Science and Technology, 2009

As a fundamental resource, textbooks shape the way we teach and learn mathematics. Based on examination of secondary school and university textbooks, we describe to what extent, and how, the presentation of mathematics material--in our case study, the concept of the line tangent to the graph of a function--could contribute to creation and…

Descriptors: Mathematics Curriculum, Mathematics Materials, Textbooks, Calculus

Tisdell, Christopher C. – International Journal of Mathematical Education in Science and Technology, 2017

This paper presents some critical perspectives regarding pedagogical approaches to the method of reversing the order of integration in double integrals from prevailing educational literature on multivariable calculus. First, we question the message found in popular textbooks that the traditional process of reversing the order of integration is…

Descriptors: Calculus, Mathematics Instruction, Problem Solving, Teaching Methods

Yopp, David – MathAMATYC Educator, 2009

This paper takes a careful look at the terms smooth, differentiable and tangent line approximation and the terms' usage in several beginning calculus texts.

Descriptors: Calculus, Mathematics Instruction, Textbooks, Vocabulary

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

Yaacob, Yuzita; Wester, Michael; Steinberg, Stanly – International Journal for Technology in Mathematics Education, 2010

This paper presents a prototype of a computer learning assistant ILMEV (Interactive Learning-Mathematica Enhanced Vector calculus) package with the purpose of helping students to understand the theory and applications of integration in vector calculus. The main problem for students using Mathematica is to convert a textbook description of a…

Descriptors: Textbooks, Problem Solving, Calculus, Computer Assisted Instruction

Shepherd, Mary D.; Selden, Annie; Selden, John – Mathematical Thinking and Learning: An International Journal, 2012

This article reports the observed behaviors and difficulties that 11 precalculus and calculus students exhibited in reading new passages from their mathematics textbooks. To gauge the "effectiveness" of these students' reading, we asked them to attempt straightforward mathematical tasks, based directly on what they had just read. The…

Descriptors: Reading Comprehension, Textbooks, Calculus, Undergraduate Students

Swidan, Osama; Naftaliev, Elena – International Journal of Mathematical Education in Science and Technology, 2019

This study was designed to micro-analyze the role of the design of interactive diagrams in learning-teaching the concept of the indefinite integral. The presented case study focuses on the engagement of one pair of 17-year-old students with an interactive diagram for graphically learning-teaching the indefinite integral concept. The authors…

Descriptors: Undergraduate Students, Mathematics Education, Visual Aids, Mathematical Concepts

Feser, Jason; Vasaly, Helen; Herrera, Jose – CBE - Life Sciences Education, 2013

In this paper, the authors describe how two institutions are helping their undergraduate biology students build quantitative competencies. Incorporation of quantitative skills and reasoning in biology are framed through a discussion of two cases that both concern introductory biology courses, but differ in the complexity of the mathematics and the…

Descriptors: Biology, Data Analysis, Mathematical Concepts, Skill Development