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Kontorovich, Igor' – International Journal of Mathematical Education in Science and Technology, 2017
These classroom notes are focused on undergraduate students' understanding of the polysemous symbol of superscript (-1), which can be interpreted as a reciprocal or an inverse function. Examination of 240 scripts in a mid-term test identified that some first-year students struggle with choosing the contextually correct interpretation and there are…
Descriptors: Misconceptions, Mathematical Aptitude, Mathematics Achievement, Undergraduate Students
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Wilburne, Jane M.; Kulbacki, Ashley – Mathematics Teaching in the Middle School, 2014
This article describes how a sixth-grade teacher's "missing word" task uncovered higher-level thinking and engaged her students in the Standards for Mathematical Practice. The role and selection of the task promotes higher-level thinking and connects to the Common Core State Standards for Mathematics. The task required students to apply…
Descriptors: State Standards, Task Analysis, Learning Experience, Teaching Methods
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Lesser, Lawrence M. – Teaching Statistics: An International Journal for Teachers, 2012
This article presents engaging interactive hypothesis tests which can be conducted with students very efficiently.
Descriptors: Hypothesis Testing, Teaching Methods, Class Activities, Probability
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Miller, David A.; Moseley, James – MathAMATYC Educator, 2012
In this paper, the authors examine a property that holds for all cubic polynomials given two zeros. This property is discovered after reviewing a variety of ways to determine the equation of a cubic polynomial given specific conditions through algebra and calculus. At the end of the article, they will connect the property to a very famous method…
Descriptors: Algebra, Calculus, Mathematical Formulas, Equations (Mathematics)
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Foster, Colin – Teaching Statistics: An International Journal for Teachers, 2012
This article advocates biased spinners as an engaging context for statistics students. Calculating the probability of a biased spinner landing on a particular side makes valuable connections between probability and other areas of mathematics. (Contains 2 figures and 1 table.)
Descriptors: Statistics, Probability, Statistical Bias, Mathematical Applications
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McGinn, Kelly M.; Lange, Karin E.; Booth, Julie L. – Mathematics Teaching in the Middle School, 2015
Researchers have extensively documented, and math teachers know from experience, that algebra is a "gatekeeper" to more advanced mathematical topics. Students must have a strong understanding of fundamental algebraic concepts to be successful in later mathematics courses. Unfortunately, algebraic misconceptions that students may form or…
Descriptors: Algebra, Mathematical Concepts, Fundamental Concepts, Misconceptions
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DeJarnette, Anna F.; Dao, Jennifer N.; González, Gloriana – Mathematics Teaching in the Middle School, 2014
Many teachers have designed lessons for students who will be working in groups to discuss and solve a problem. After investing time in constructing an interesting problem, creating strategically designed groups, and introducing the problem carefully, teachers may be left wondering how to help students collaborate to make sense of mathematical…
Descriptors: Group Discussion, Middle School Students, Problem Solving, Problem Based Learning
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Hirsch, Jenna – MathAMATYC Educator, 2012
A facility with signed numbers forms the basis for effective problem solving throughout developmental mathematics. Most developmental mathematics textbooks explain signed number operations using absolute value, a method that involves considering the problem in several cases (same sign, opposite sign), and in the case of subtraction, rewriting the…
Descriptors: Mathematics Education, Number Concepts, Number Systems, Numbers
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Brooks, Robert – Teaching Statistics: An International Journal for Teachers, 2012
This article illustrates using carbon emissions data in an introductory statistics assignment. The carbon emissions data has desirable characteristics including: choice of measure; skewness; and outliers. These complexities allow research and public policy debate to be introduced. (Contains 4 figures and 2 tables.)
Descriptors: Statistics, Assignments, Problem Sets, Statistical Data
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Erwin, Robin W., Jr. – American Secondary Education, 2015
The achievement of deep learning by secondary students requires teaching approaches that draw students into task commitment, integrated curricula, and analytical thinking. By using real-world data sets in project based instructional units, teachers can guide students in analyzing, interpreting, and reporting quantitative data. Working with…
Descriptors: Literacy, Data, Problem Solving, Problem Sets
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Kachapova, Farida; Kachapov, Ilias – International Journal of Mathematical Education in Science and Technology, 2011
This article describes the technique of introducing a new variable in some calculus problems to help students master the skills of integration and evaluation of limits. This technique is algorithmic and easy to apply.
Descriptors: Calculus, Mathematical Applications, Mathematical Formulas, Mathematics Skills
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Holmes, Karen Y.; Dodd, Brett A. – Teaching Statistics: An International Journal for Teachers, 2012
In this article, we discuss a collection of active learning activities derived from classic psychology studies that illustrate the appropriate use of descriptive and inferential statistics. (Contains 2 tables.)
Descriptors: Active Learning, Psychology, Teaching Methods, Class Activities
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Ostler, Elliot; Flesch, Michael – MathAMATYC Educator, 2012
This paper justifies the need for, and offers some suggestions on, the selection and implementation of mathematical problems known as dynamic solution exercises (DSEs). The intent of this article is to help provide insight into how mathematics teachers can go about making "vertical articulation" a cooperative and tangible part of the…
Descriptors: Mathematics Curriculum, Program Implementation, Educational Strategies, Problem Sets
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Sealey, Vicki; Engelke, Nicole – MathAMATYC Educator, 2012
The great gorilla jump is an activity designed to allow calculus students to construct an understanding of the structure of the Riemann sum and definite integral. The activity uses the ideas of position, velocity, and time to allow students to explore familiar ideas in a new way. Our research has shown that introducing the definite integral as…
Descriptors: Calculus, Word Problems (Mathematics), Mathematics Activities, Problem Solving
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du Feu, Chris – Teaching Statistics: An International Journal for Teachers, 2012
Practical project work based on eBay selling prices is described. It is suitable for secondary school students of a wide range of statistical expertise and it may be used to introduce a statistical package. (Contains 4 figures and 5 tables.)
Descriptors: Secondary School Students, Class Activities, Statistics, Science Course Improvement Projects
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