Ambitious teaching is a form of teaching that requires a high level of teacher responsiveness to what students do as they actively engage with the subject matter. Thus, a teacher enacting ambitious teaching is often confronted with uncertainties about how to advance students' learning while also building on students' contributions. In…

"It's All Connected" provides teachers of mathematics the support they need to improve their instruction. This in-demand collection of lessons for grades 6-8 explores proportionality, proportional relationships, and proportional reasoning, acknowledging that the ability to reason proportionally is crucial in the middle school mathematics…

If you've ever questioned how to make math stations work, you'll find this photo-filled, idea-packed resource invaluable. This book extends Debbie Diller's best-selling work on literacy work stations and classroom design to the field of mathematics. In "Math Work Stations" you'll find ideas to help children develop conceptual understanding and…

Statistics education researchers are urging teachers of statistics to help students develop a more sophisticated understanding of variation, since variation is the core of statistics. However, little research has been done into the conceptions of variation held by instructors of statistics. This is of particular importance at the community college…

Algebra is the language that must be mastered for any course that uses math because it is the gateway for entry into any science, technology, engineering, and mathematics (STEM) discipline. "Math Remediation for the College Bound" fosters mastery of critical math and algebraic concepts and skills essential to all of the STEM disciplines and some…

This action research report follows the journey of four elementary school teachers as they learn to define and ask "deeper" or meaningful mathematical questions in their teachings. It chronicles the way that teaching through problem solving and developing criteria for questioning increased the percentage of "deeper" questions…

Computer technology in mathematics education enabled the students find many opportunities for investigating mathematical relationships, hypothesizing, and making generalizations. These opportunities were provided to pre-service teachers through a faculty course. At the end of the course, the teachers were assigned project tasks involving…

One of the author's undergraduate students recently asked him whether it was possible to generate a random positive integer. After some thought, the author realised that there were plenty of interesting mathematical ideas inherent in her question. So much so in fact, that the author decided to organise a workshop, open both to undergraduates and…

This study investigated the students' learning process of the concept of concentration at the elementary school level in Taiwan. The influence of different representational types on the process of proportional reasoning was also explored. The participants included nineteen third-grade and eighteen fifth-grade students. Eye-tracking technology was…

A number of underlying principles for including technology in the mathematics classroom is provided by Way and Webb (2006). They see technology, if incorporated in a rich and meaningful way, as potentially providing: (1) a shift from "instructivist" to constructivist education philosophies; (2) a move from teacher-centred to…

The purpose of this study was to investigate how the use of TI-Nspire[TM] could enhance the teaching and learning of calculus. A conceptual framework for the use of TI-Nspire[TM] for learning calculus in a mathematics classroom is proposed that describes the interactions among the students, TI-Nspire[TM], and the learning tasks, and how they lead…

The teaching of mathematics in Singapore continues, in most cases, to follow a traditional model. While this traditional approach has many advantages, it does not always adequately prepare students for University-level mathematics, especially applied mathematics. In particular, it does not cultivate the ability to deal with "non-routine…

Starting a math club as early as kindergarten and having a range of grade levels in attendance can be successful. With the help of the older students, the varied age groups are entertained and excited about attending math club. The purpose of the club is to enrich the classroom mathematics curriculum with hands-on activities and to have members…

Just 31 percent of community college students complete remedial, or developmental, math "gateway" courses before they move on to college-level math, according to a recent study. To help combat this cycle, some community colleges are turning to newly developed online programs that emphasize repetition, practice, and mastery of concepts.…

Every semester, the authors encounter students who are attracted to the visual and spatial aspects of geometry. They have other students who consider geometry to be challenging for the very same reasons. Students are confounded not only by the fact that geometry relies on visual interpretations but also because it has a language of its own and…