In this paper, we describe the influence of the implementation of methodology for teaching and learning multiple integrals based on the constructivist approach and the interconnectedness of multiple representations (with an emphasis on dynamic representations) for different mathematical objects using GeoGebra's applications Graphing Calculator and…

This study utilized a one-group pretest-post-posttest design (Allen, 2017) to examine the effects of the Hands-On Equations system on students' abilities to solve multi-step equation problems following explicit classroom instruction on the skill. Participants consisted of four middle-school male students, all of whom received special education…

Science, technology, engineering and math (STEM) advocates commonly emphasize an interdisciplinary, authentic, project-based, and technology-based approach to learning, though the strength of prior research varies. This study examines the association between a range of classroom activities and academic performance gains in math and science. Using…

This descriptive research study examined 2013 NAEP 12th-grade mathematics scores by students' use of graphing calculators in math classes and the kind of calculator students used during NAEP assessment. NAEP Data Explorer analysis included two questions from Student Factors: How often do you use these different kinds of calculators in math class?…

We used population-based, longitudinal data to investigate the relation between mathematics instructional practices used by first-grade teachers in the United States and the mathematics achievement of their students. Factor analysis identified four types of instructional activities (i.e., teacher-directed, student-centered,…

When a Computer Algebra System (CAS) is used as a pedagogical and functional tool in class and as a functional tool in exams, its effect on student achievement can be quite profound. The timing of when students are first introduced to a CAS has an impact on gains in student achievement. In this action research project, the CAS calculator was…

Calculators are widely used in mathematics education, yet limited research examines the effects of calculators for students with mild intellectual disability. An alternating treatments design was used to study the effects of calculator types (i.e., scientific and graphing) on the mathematical performance (i.e., computation and word problems) of…

The Program for International Assessment tested students in mathematics from 41 countries and found that students in the United States ranked in the lowest percentile. This struggle with math among youth in the United States prompted this quasi-experimental quantitative study about using interactive technology to engage and motivate 9th grade…

In 2009, four mathematics subjects were offered at the year 12 level in the Victorian Certificate of Education (VCE). The two subjects at the intermediate level--Mathematical Methods and Mathematical Methods CAS--run in parallel, that is, a student can be enrolled in only one or the other, the choice being made at the school level. The curricular…

Computer-based instruction (CBI) programs have been implemented in classrooms for almost three decades. One advantage of CBI includes allowing the user to tailor instruction to their particular style of learning (Slavin & Lake, 2009). An essential part of individualizing CBI involves the students use of active electronic support tools, which…

This paper reports the results from a study which explored the influence of condition (access to four-function calculator, access to graphing calculator with instructional exposure, and access to graphing calculator without instructional exposure) on the mathematical performance of students with and without a disability. The results were analyzed…

American students continue to struggle on measures of student achievement. This study employed Hierarchical Linear Modeling to estimate a two-level model and examine the influences of calculator use and teachers' instructional practices on student achievement in mathematics amongst first-grade students. The outcome variable was mathematics test…

This paper reports on the effects the use of a pocket calculator-based computer algebra system (CAS) has on the performance in mathematics of grade 11 students in Germany. A project started at 8 of about one hundred upper secondary schools in the federal state of Thuringia in 1999; 3 years later the former restrictions on the use of technology in…

This brief review of research on calculators indicates that they will not harm achievement and that they are helpful in problem solving and for teaching other mathematical ideas. (MNS)

Compared was the mathematical performance of secondary school students for whom a graphic calculator was a standard mathematical tool, with that of students of similar background without regular access to graphing technology. Increased achievement on symbolization tasks, especially for females, was shown for students who used the graphing…