Each year, more teachers learn about the successful intervention program known as Math Recovery (USMRC 2008; Wright 2003). The program uses Steffe's whole-number schemes to model, understand, and support children's development of whole-number reasoning. Readers are probably less familiar with Steffe's fraction schemes, which have proven similarly…

At United States Military Academy, a unit on biological modeling applications forms the culminating component of the first semester core mathematics course for freshmen. The course emphasizes the use of problem-solving strategies and modeling to solve complex and ill-defined problems. Topic areas include functions and their shapes, data fitting,…

This study was conducted to examine the statistical relationship between problem solving and critical thinking to guide future teaching and research for agricultural educators using the problem-solving approach. Students enrolled in an undergraduate genetics course in the College of Agricultural and Life Sciences at the University of Florida were…

Problem statement: This study aims to investigate factors influencing mathematic problem-solving ability of sixth grade students. One thousand and twenty eight of sixth grade students, studying in the second semester of academic year 2007 were sampled by stratified random sampling technique. Approach: The research instruments used in the study…

In a 2-year longitudinal study, 66 children were assessed in Grades 3 and 4 with a within-method-and-time design on metacognition (including the computerized Evaluation and Prediction Assessment [EPA2000]) and mathematics. Moreover, half of the children were trained in Grade 3 in the metacognitive skill of predicting their abilities in solving…

At schools special learning and programming environments are often used in the field of algorithms. Particularly with regard to computer science lessons in secondary education, they are supposed to help novices to learn the basics of programming. In several parts of Germany (e.g., Bavaria) these fundamentals are taught as early as in the seventh…

This article describes an attempt to adopt dynamic assessment (DA) methods in classroom speaking assessments. The study reported in this article focused on four particular applications of dynamic speaking assessment (DSA). The first, "mediated assistance" (MA), involves interaction between an assistor and a learner to reveal problems in…

The recent reauthorization and regulations of the Individuals With Disabilities Education Improvement Act (IDEA 2004) encourage the use of school-wide interventions including response to intervention (RTI; Bradley, Danielson, & Doolittle, 2007). RTI refers to a multi-tiered system that addresses the academic needs of all students by using…

International studies on the knowledge of mathematics at the generalist-class teaching level have indicated that Slovene students are quite skilled at computations, but have difficulties solving mathematical problems. This finding stimulated us to create a problem-based instruction model. We wanted to find out whether the students in the…

The present study evaluated the effectiveness of an instructional intervention (schema-based instruction, SBI) that was designed to meet the diverse needs of middle school students by addressing the research literatures from both special education and mathematics education. Specifically, SBI emphasizes the role of the mathematical structure of…

In analytic moral philosophy it is standard to use unrealistic puzzles to set up moral dilemmas of a sort that I will call Lockean Puzzles. This paper will try to pinpoint just what is and what is not problematic about their use as a teaching tool or component part of philosophical arguments. I will try to flesh out the claim that what may be lost…

Everyday, people face situations that call for adding, subtracting, multiplying, or dividing, and at least half of the time, these calculations are accomplished without the use of pen, paper, or calculators. Because figuring "in your head" is such an important life skill, it should have a regular role in classroom math teaching. This article…

Nowadays we need to teach students how to become flexible problem solvers in a dynamic world. The pace in which technology changes and complexity increases requires increased efficiency in learning and understanding. This requires the engineers of tomorrow to quickly gain knowledge and insight outside their prime area of expertise. To transfer…

This article explores the use of student written cases as a teaching method to improve students' capacity to integrate theory with practice. The article begins with a brief history of the case method and its effectiveness in teaching students valuable skills in assessment and problem solving. A discussion then follows on case writing and the…