This study compares descriptive quantitative and qualitative data from 2 beginning, university-level second-language (L2) Spanish classes to demonstrate the benefits of teacher-led discourse organized as collaborative, whole-class tasks. In class, the teacher solicited target L2 forms through conversational questions to individuals with recasted…

This study was aimed at comparing the effectiveness and efficiency of direct instruction and problem solving approaches in teaching social skills to children with mental retardation. The design was adapted alternating treatment design. The subjects of the study consist of a girl and a boy between the ages of 11 and 13 who are mentally retarded. In…

Great strides in the real world are usually accompanied by failure. Mathematics teachers should accept some failure as their students take risks during mathematical explorations. This is not to imply that students should fail an entire course, but they should have opportunities to take risks that may lead to failure, especially in the area of…

This study investigated the factors of middle school math student self-efficacy and perceived peer support in relation to student willingness to participate with in-class activities with an interactive white board (IWB). One-hundred and five seventh grade math students were assessed on their attitudes of IWB engagement in relationship to low…

Current views on metacognition consider it a fundamental factor in learning and problem-solving which in turn has led to interest in creating learning experiences conducive to developing its use. This paper reports on the effectiveness of a collaborative intervention in promoting college general chemistry students' awareness and use of…

Students with high-functioning autism and/or Asperger Syndrome (HFA/AS) are characterized by difficulties with communication as well as impairments in social interaction skills. Students with HFA/AS have been shown to generate solutions that are lower quality (e.g., less socially appropriate) than those of their typical peers and also to have…

The authors compared a conceptual model-based problem-solving (COMPS) approach with a general heuristic instructional approach for teaching multiplication-division word-problem solving to elementary students with learning problems (LP). The results indicate that only the COMPS group significantly improved, from pretests to posttests, their…

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…

Creativity can be described as the ability to generate new ideas and combine existing ideas in new ways to find novel solutions to problems. Creativity is enhanced by a free flow of knowledge and through social contact. On this basis, the authors argue that knowledge sharing is central to creativity in design and present preliminary evidence to…

An important component of intermediate and college algebra courses involves teaching students methods to factor a trinomial with integer coefficients over the integers. The aim of this article is to present a theoretical justification of that which is often taught, but really never explained as to why it works. The theory is presented, and a…

Many classes of differential equations are shown to be open to solution through a method involving a combination of a direct integration approach with suitably modified Picard iterative procedures. The classes of differential equations considered include typical initial value, boundary value and eigenvalue problems arising in physics and…

Problem-based learning (PBL) is an instructional approach that is organized around the investigation and resolution of problems. Problems are neither uniform nor similar. Jonassen (1997, 2000) in his design theory of problem solving has categorized problems into two broad types--well-structured and ill-structured. He has also described a host of…

Insects are fascinating creatures--especially when you and your students get up close and personal with them! To that end, the authors facilitated an inquiry-based investigation with an emphasis on identification of the different types of insects found in the school yard, their characteristics, their habitat, and what they eat, while engaging the…

This article features Sweet play math, a "math by the month" activity that involves decorating and making sugar cubes. Teachers may want to substitute straws, paper squares, alphabet blocks, or such commercially made manipulatives as Unifix[R] cubes for the real sweets. Given no allergy concerns, teachers and students alike would enjoy some sweet…

To date, there are currently many variations of inquiry-based instruction including problem-based learning (PBL), lecture prior to problem solving, and case-based learning (CBL). While each claim to support problem-solving, they also include different levels of student-centeredness and instructor support. From an educational perspective, further…