Standard classroom tests tend to showcase what students know at that point in time and do not usually reflect real-life mathematics. They are not always accurate indicators of what students understand and how they understand it. Portfolios are tools that allow students a better opportunity to exhibit mathematical growth in understanding and…

Problem solving lies at the heart of mathematical learning. Children need opportunities to write, discuss, and solve problems on a regular basis. The problems must incorporate grade-appropriate content and be "accessible and engaging to the students, building on what they know and can do." Teachers also play a key role in establishing a classroom…

In this millennium, educators are faced with a number of issues that Dr. Maria Montessori could not have predicted. Today, students are different from the children Dr. Montessori observed in her "Casa dei Bambini." They are influenced by technology in all its forms. Some suffer from medical problems such as complex food allergies, which wreak…

Every student should understand and use all concepts and skills from the previous grade levels. The standard is designed so that new learning builds on preceding skills. Communications, Problem-solving, Reasoning & Proof, Connections, and Representation are the process standards that are embedded throughout the teaching and learning of all…

Every student should understand and use all concepts and skills from the previous grade levels. The standard is designed so that new learning builds on preceding skills. Communications, Problem-solving, Reasoning & Proof, Connections, and Representation are the process standards that are embedded throughout the teaching and learning of all…

Human Communication in Organizations (HCO) is an introductory college course at Ithaca College, typically taken in the freshman year, in which students from a wide variety of majors examine the basic concepts, issues, and uses of organizational communication including communication theory, superior-subordinate and peer relationships, leadership,…

Exploratory factor analysis (EFA) is a frequently used multivariate analysis technique in statistics. Jennrich and Sampson (1966) solved a significant EFA factor loading matrix rotation problem by deriving the direct Quartimin rotation. Jennrich was also the first to develop standard errors for rotated solutions, although these have still not made…

In a statistics course for bachelor students in econometrics a new format was adopted in which students were encouraged to study more actively and in which cooperative learning and peer teaching was implemented. Students had to work in groups of two or three students where each group had to perform certain tasks. One of these tasks was: explaining…

This article discusses the "BASICS" or "Building Accuracy and Speed In Core Skills" Mathematics Intervention Program which has been designed to enable students who are either low-achievers or have some form of learning disability, to attain real improvement and make the successful transition to core mathematics. The "BASICS" Intervention Program…

This article describes techniques that can be used to enhance mathematics instruction for English language learners. Using the strategies suggested in this article, such as scaffolding instruction and accommodating their linguistic needs, mathematics teachers can help ELLs both succeed and increase their mathematics achievement. (Contains 3…

The relationship between quantitative problem solving and commonsense has provided the basis for an expanding exploration for Colleran and O'Donoghue. For example the authors (Colleran et al., 2002, 2001) discovered the pivotal role commonsense plays in adult quantitative problem solving and suggest commonsense is an important "resource? in…

This article proposes an instructional idea where students can figure out an individual's secret personal information using the power of mathematics, particularly the power of algebraic thinking. The proposed examples in this article start with a personalized context that other people do not know and end up with generalized patterns of solutions.…

"Although the description of mentorships can be traced back to ancient Greek history," most of the empirical research on mentorships has been conducted within the past two decades. Such research has tended to focus on the relationship itself--an intense, personal bond that spans a spectrum of activities and time. This article, however,…

The No Child Left Behind Act has brought great attention to the effectiveness of math and literacy program in U.S. Schools. Literacy instruction was the hot topic of the 1990s, but numeracy has taken center stage in current education debates. Although the importance of literacy skills in other subject areas is quite obvious, the connection between…

In many mathematics classes, students are asked to learn via the discovery method, in the hope that the intrinsic beauty of mathematics becomes more accessible and that making conjectures, forming hypotheses, and analyzing patterns will help them compute fluently and solve problems creatively and resourcefully (NCTM 2000). The activity discussed…