Numerous studies have shown that mathematical knowledge is situational, meaning that students' abilities to transfer and apply skills depends on the conditions in which they were learned (Barab 1999; Boaler 2002, 2016). Given that the real world seldom presents problems that are confined to a single discipline (Barab 1999), it is imperative that…

While one author was reading "The Simpsons and Their Mathematical Secrets by Simon Singh" (2013) in preparation for a presentation, the second author asked what in the book would be interesting to discuss. The topic of Klein bottles was on the first author's mind at that moment, so he tried to describe and explain the form to her--a real…

Recommendations for reforming high school mathematics curricula emphasize the importance of engaging students in mathematical investigations of societal issues (CCSSI [Common Core State Standards Initiative] 2010; NCTM [National Council of Teachers of Mathematics] 2000). Proponents argue that these investigations can positively influence students'…

Today there are many categories of mathematics literature, including fiction and poetry. Mathematics fiction appears in such anthologies as "Fantasia Mathematica" (Fadiman 1958, 1997) and "The Mathematical Magpie" (Fadiman 1962, 1997). In addition, mathematics fiction is featured at http://kasmana.people.cofc.edu/MATHFICT.…

Emphasizes the commonalities among classes of polynomial functions. Provides exploratory activities for students as well as a teacher's guide. (KHR)

Describes a teaching experience through student-centered activities in a second year algebra class with gifted and talented students. Concludes that students learned more mathematics than the teacher originally planned to teach. (KHR)

An interdisciplinary activity in which students can see how a famous author, Leo Tolstoy, metaphorically applied the integration steps from calculus to illustrate his ideas about how history should be studied is described. The activity provides a startling and energizing conclusion to a unit on applications of integration and provokes students'…

Uses a probability tree to predict the most likely wild card team for a National League Championship. (KHR)

Describes some interesting features of the book "Sumario Compendioso," first written in North America so that others can use it to enrich their classes and forge links between mathematics and other subjects. (KHR)

Focuses on vocabulary as one aspect of language that is necessary for overall mathematics achievement. Identifies potential vocabulary problems and provides instructional strategies to promote vocabulary development. (KHR)

Describes the mathematical needs of electricians and in so doing, indicates where the trainers of electricians strike a balance between skills, understanding, and problem solving. (KHR)

Describes the process of combining two theorems from plane geometry to form the chord-line theorem. In this theorem, the concept of two intersecting chords or extended chords is replaced by a single chord-line. (DDR)

A basis is given for interdisciplinary activities for students studying transformational geometry. (MK)

Shows how all primitive Pythagorean triples can be generated from harmonic sequences. Use inductive and deductive reasoning to explore how Pythagorean triples are connected with another area of mathematics. (KHR)

Describes Project Jacobean, which offers students an opportunity to investigate differential calculus appearing in the study of literature. Presents procedures for student activities in which they experience the rigor of deducing conclusions and realize that viewing their work critically can be constructive. Introduces the essence of scholarly…