In the Slovenian National Mathematics Curriculum the probability contents are first mentioned in the ninth grade of elementary school (at the age of 14), yet they are introduced informally, only in some first triad textbook sets. The researchers disagree as to the age of children at which they are able to deal with certain probability contents. In…

The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. "Hands-on Activities for Teaching the Common Core Math…

Simulation is an important learning tool that allows students to grasp probability concepts, especially when the actual scenario does not need to be replicated entirely. In the cases of tossing coins and rolling dice, gathering the data before analyzing them can be laborious and might be a waste of precious class time--time that might be better…

This study examined the effects of the "READ 180"[R] program on the reading achievement levels of fourth grade students who participated in the "READ 180"[R] program (Scholastic Incorporated, 2005) compared to fourth grade students who were reading below grade level but who were not participating in the "READ 180"[R]…

This study examines the effects of explicit instruction and exposure only on ESL students' ability to recognize, use and recall phrasal verbs. Subjects included 55 intermediate-level ESL students in reading classes at an intensive English program. Thirty-seven idiomatic phrasal verbs were divided into two lists. In a repeated measures design, one…

Research has shown that even if students pass a standard introductory statistics course, they often still lack the ability to reason statistically. Many instructional techniques for enhancing the development of statistical reasoning have been discussed, although there is often little to no experimental evidence that they produce effective results…

This paper summarises part of a longitudinal study to investigate the possibility of establishing an Index that would indicate the appropriate starting point for instruction for students entering high school and reports on the first group of students to sit the Index tests in 2005, comparing the predictive nature of the tests with other state and…

"Mathematics and Sports", edited by Joseph A. Gallian, gathers 25 articles that illuminate the power and role of mathematics in the worlds of professional and recreational play. Divided into sections by the kind of sports, the book offers source materials for classroom use and student projects. Readers will encounter mathematical ideas from an…

In Volume 23(2) of the "Australian Senior Mathematics Journal," Boncek and Harden present an exercise in fitting a Markov chain model to rainfall data for Darwin Airport (Boncek & Harden, 2009). Days are subdivided into those with precipitation and precipitation-free days. The author abbreviates these labels to wet days and dry days.…

Every person in his lifetime has many times experienced the miraculous impact of the fairy-tale on his imagination, mind and feelings. But we seldom reflect upon the content not only in the ethical aspect of fairy-tales but also as a source of different kinds of knowledge, among them the knowledge of mathematics. The use of fairy-tales in lessons…

The classroom activity described here allows mathematically mature students to explore the role of mean, median and mode in a decision-making environment. While students discover the importance of choosing a measure of central tendency, their understanding of probability distributions, maximization, and prediction is reinforced through active…

This study examines a commonly held view that teachers tend to focus less on developing understanding and more on mechanistic answer-finding when teaching in classes of lower-achieving students. The study investigates this by analyzing actual practices of teaching mathematics and of classroom interactions in classes having different levels taught…

The television show Deal or No Deal and an Excel spreadsheet help students see how understanding probability and mean--and the concept of expected value (EV)--can lead to game show wins.

The author describes a protocol for classroom experiments for courses that introduce undergraduates to signaling games. Signaling games are conceptually difficult because, when analyzing the game, students are not naturally inclined to think in probabilistic, Bayesian terms. The experimental design explicitly presents the posterior frequencies of…

The general pedagogical knowledge of teachers is not often investigated in comparison to content knowledge and pedagogical content knowledge. In this article, a more comprehensive outlook on teachers' skills and knowledge without regard to subject-specific nuances is discussed in relation to classroom management strategies, the organization of…