This study examines the effect varying models have on student understanding of fractions. The study addressed the question of what students know and understand about fractional concepts through the use of discrete and continuous models. A sample of 54 students in kindergarten and 3rd grade were given an interview pretest, participated in…

Teachers spend most of their time in school in classrooms, and their instruction and teaching practices may be affected by classroom context such as class size. We examine whether teacher effects interact with classroom context such as class size. Specifically, we seek to determine whether teacher effects are more pronounced in small classes than…

Contrary to classical problem-based learning, in guided problem-based learning, the learning goals are predetermined by the instructor--on the basis of a detailed decomposition of the subject matter to be studied--to activate prior knowledge and to structure self-study and subsequent group discussion. This study investigated the effects of…

This intervention study compared the efficacy of small-group tutoring on the mathematics learning of third-grade students at risk for mathematics difficulty using either a school-provided standards-based curriculum (SBC) or a schema-based instruction (SBI) curriculum. The SBI curriculum placed particular emphasis on the underlying mathematical…

The developmental sequence of mathematics courses in most 2-year and 4-year colleges is designed to prepare students to succeed in college-level math courses. That is, students must complete this sequence in order to progress to courses such as statistics, college algebra, precalculus, calculus, and differential equations. Research on the…

Low achievement on standardized tests may be attributed to many factors, including teaching methods. Differentiated instruction has been identified as a teaching method using different learning modalities that appeal to varied student interests with individualized instruction. The purpose of this quantitative study was to compare whole-group…

Problem statement: Although there is agreement on the potential of project based learning (PBL) and virtual manipulatives (VMs), their positive impact depends on how they are used. This study was based on supporting the use of online PBL environments and improving the efficacy of the instructional practices in PBL by combining the potentials of…

In this study, we meta-analyzed empirical research of the effectiveness of intelligent tutoring systems (ITS) on K-12 students' mathematical learning. A total of 26 reports containing 34 independent samples met study inclusion criteria. The reports appeared between 1997 and 2010. The majority of included studies compared the effectiveness of ITS…

The "WVEB" Mathematics Project is a collaborative program offering college-level courses to high school students. Results of a matched-pair study comparing on- and off-campus students in algebra indicate that both sections show a significant gain in score on the math "ACT" test, with no difference in gain found between…

The participants in this study were high school Hispanic students from four geometry classes. All students were taught by the same teacher, and the duration of the experiment was for one term or six weeks. Two classes were placed in the control group and another two classes in the experimental group. In the control group, students took weekly…

Three main purposes provided the foundation for this study. The first purpose was to investigate academic achievement through analyses of data obtained through formal and informal assessments among kindergarten through eighth grade students who participated in a Head Start program, center-based care program, or home-based care prior to school…

This study investigated the comparative efficiency of Web-based instruction (WBI) and traditional teaching methods on preservice teachers' fraction knowledge. Students' knowledge of fractions was measured using a Fraction Knowledge Test. The test consisted of 32 items and was administered as pre- and posttests to a total of 42 preservice teachers…

This dissertation investigated three instructional strategies in developmental math classes to determine if instructional strategy had a positive effect on student achievement, attitude towards mathematics, and anxiety level towards mathematics at a college in western Pennsylvania for students majoring in applied arts. The significance of this…