Off You Go is a PK-12 mathematical routine that leverages children's home resources and assets to help students take a concept with which they have initial or informal understanding and explore and test its boundaries to support defining or estimating with precision. The authors provide a guide for how to adapt this routine to engage students at…

Today it is critical to excite young people about mathematics in our high-tech STEM world we live in. Math teachers today need to embolden students to be confident in their ability to solve problems, to think and use their imaginations, to understand mathematical concepts, to be creative, and to see math as a human endeavor. The author feels that…

The way in which mathematics is communicated and represented in schools (including the written language, symbols and diagrams of mathematics textbooks and the verbal/spoken classroom interaction itself) constructs particular views of the nature of mathematics and expectations about students' participation in mathematical activity. In a previous…

Technology integration in K-12 mathematics has received increased attention in the last decade as new mathematical technologies have been developed and implemented more often. There is a need for further research on these technologies and for effective implementation practices of technology in mathematics education in general. in practice,…

The topic of models and modeling has come to be important for science and mathematics education in recent years. The topic of "Modeling" topic is especially important for examinations such as PISA which is conducted at an international level and measures a student's success in mathematics. Mathematical modeling can be defined as using…

Applying the Mathematical Knowledge for Teaching framework, we discuss the components of teacher knowledge that might be useful in supporting mathematical inquiry, and examine ways in which we strive to develop this knowledge within a middle grades mathematics program for undergraduate students who are prospective teachers. Using sample activities…

The following is a report on an investigation into ways of supporting teachers in converting challenging mathematics tasks into classroom lessons and supporting students in engaging with those tasks. Groups of primary and secondary teachers, respectively, were provided with documentation of ten lessons built around challenging tasks. Teachers…

Recognizing schemes, which are different from strategies, can help teachers understand their students' thinking about fractions. Using Steffe's advanced fraction schemes, the authors describe a progression of development that upper elementary and middle school students might follow in understanding fractions. Each scheme can be viewed as a…

The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…

The study of leap year and its development offers an interesting real-world situation for students to exercise qualitative reasoning about operations on decimals. Presents an activity in which students investigate time measurement by studying a variety of calendars, past and present. (ASK)

Introduces the whole number machine and describes its use as an odometer in an addition game. Presents an activity in which students learn mathematics while they fly across the globe. (Contains 12 references.) (ASK)

Looks at the connection between soccer fields and mathematics to help students understand middle school geometry topics. Presents an activity in which students explore relationships among polygons to discover which combinations tessellate and which combinations form polyhedra. (ASK)

Describes a consumer-math-skills project in which students make geometric shapes using pretzel sticks and gumdrops, then start a shop to sell them. This requires counting costs, pricing items, setting up shop, using money, making change, and understanding profits. Students reflect on the experience and write lists of the math they used to create…

Algebra is no longer just for college-bound students. After a widespread push by the National Council of Teachers of Mathematics (NCTM) and teachers across the country, algebra is now a required part of most curricula. However, students' standardized test scores are not at the level they should be. NCTM's seventieth yearbook takes a look at the…

This book is the third in a series of family math books whose aim is to involve parents and their children in middle school mathematics. All the activities contained in this guide are based on the National Council of Teachers of Mathematics (NCTM) Standards, and most activities involve several integrated math concepts rather than isolated skills.…