There is a growing interest in using a flipped classroom format in day-to-day teaching. Direct computer-based individual instruction outside the classroom and interactive group learning activities inside the classroom are the two essential components of the flipped classroom model. By watching instructional videos, students can work through some…

Since the 1950s, the understanding of how the base 10 system works has been encouraged through alternative base systems (Price 1995; Woodward 2004). If high school students are given opportunities to learn other base systems and analyze what they denote, we believe that they will better understand the structure of base 10 and its operations…

The Common Core State Standards (CCSSI 2010) and NCTM's (2014) "Principles to Actions" agree that "for meaningful learning of mathematics, tools and technology must be indispensable features of the classroom . . . that support students in exploring mathematics as well as in making sense of concepts and procedures and engaging in…

The implementation of the Common Core's Standards for Mathematical Practice can pose a challenge to all teachers of mathematics but especially to preservice teachers. These standards require teaching in a way that often differs from what preservice teachers have experienced as learners. Standard 1--"Make sense of problems and persevere in…

The National Council of Teachers of Mathematics (NCTM) has consistently recognized communication as essential to reform-oriented mathematics teaching (NCTM 1991, 2000). In this article, the authors propose a strategic mix of univocal and dialogic discourse that, when used in conjunction with an "inductive model of teaching," can promote…

Offers reasons why algebra should not be taught in the eighth grade, suggesting that this subject be replaced by a challenging, engaging alternative. Also suggests enriching the mathematics program to bring more students into mathematics classes. (JN)

Presents an activity for eighth-grade students and beyond to explore relationships between and among the areas of various polygons. Emphasizes that students should be given the opportunity to design their own examples. (ASK)

Presents an extended hands-on project for eighth-grade mathematics classrooms in which students are to determine the probability that a local creek would flood. (ASK)

Discusses the results of the 1996 National Assessment of Educational Progress (NAEP) of secondary school students on probability and statistics. The most recent results indicate that more attention is being given to data analysis, statistics, and probability, and that student performance on these items is gradually improving compared to the 1990…

Comparisons are given for data from the Second International Study for both eighth- and eleventh-grade students in the United States and Japan. U.S. students were closer to Japanese students at the eighth-grade level than at the twelfth-grade level; differences have increased since the First International Study. (MNS)

Proposes using student projects to show students how mathematics can be applied to their lives by using statistics. Students identify a topic of interest to them and their community, collect data, discuss the analyzed data in a written report, and present the reports at the local senior-citizen center. (MDH)