National and international large-scale assessments of mathematics show that, in most nations, males achieve better results than females and Italy is one of the countries with a greater gap. Many research studies in mathematics education have analysed this issue, using both quantitative and qualitative methods to understand the sources and…

The authors described the influence of the GeoGebra based environment on students' achievements in the field of functions with parameters, during collaborative learning. Functions with parameters are important because of their application in science. Students had to choose different values for parameters and to examine the properties of the…

Effective teachers have knowledge not only of the subject they are teaching, but also of how to teach it appropriately. To develop these aspects of knowledge, faculties of education include a number of courses that address the related skills. From the perspective of mathematics teacher education, courses related to mathematics teaching have come…

We examined the potential different effectiveness of an online homework system (IXL) and the traditional paper-and-pencil homework. A study involving 98 participants was conducted in a middle school (grade 8). We compared the post-test results from the online homework group with the traditional homework group. Both homework assignment effect…

The acquisition of procedural and conceptual knowledge is imperative for the development of problem solving skills in mathematics. However, while there are mixed research findings on the relationship between the two domains of knowledge in some branches of mathematics, the relationship between learners' procedural and conceptual knowledge of…

The Pearson correlation coefficient can be recovered from the two least squares regression lines y[with circumflex] = b[subscript 0] + b[subscript 1]x and x[with circumflex] = a[subscript 0] + a[subscript 1]y without any data. This can be done both algebraically and geometrically. This can be done without data even when the scales of the variables…

Numbers and variables often follow the same principles of arithmetic operations, yet numbers can be computed to a value whereas variables cannot. We examined the effect of symbols--numbers versus variables--on middle school students' problem-solving behaviors in a dynamic algebra notation system by presenting problems in numbers (e.g., 3+5-3) or…

This quantitative causal-comparative study was conducted to determine if or to what extent a statistically significant difference existed in academic achievement between early college high school (ECHS) and traditional high school for Black males as measured by standardized test scores in English and math. Dependent variables, State of Texas…

The shift across developmental education from prerequisite to corequisite remediation has left students underprepared for college-level mathematics in need of additional support. Typically, this support takes the form of content remediation, but what happens when this extra help is reframed in terms of student learning skills and confidence?…

Over the years, many special education trends have emerged and faded, each claiming to be the solution to providing students with special needs a greater chance for success. Each year, new requirements for graduation and new educational legislation are introduced to try and correct old problems of ensuring students with special needs are properly…

The purpose of this study was to investigate a high school Algebra I program through an examination of potential relationships among teachers' beliefs about teaching and learning mathematics, teachers' instructional styles, students' academic self-concept in mathematics, and students' mathematics achievement in an Algebra I course. While a…

The achievement gap that exists in K-12 education between Latino student students and other races is not only evident but profound. To bridge this gap, underlying factors needed to be explored. One such factor that has affected overall student performance is math anxiety. Researchers have determined that math anxiety has had a tremendous impact on…

In this article we illustrate how one teacher used PhET cannonball simulation as an instructional tool to improve students' algebraic reasoning in a fifth grade classroom. Three instructional phases effective to implementation of simulation included: Free play, Structured inquiry and, Synthesizing ideas.

Like terms are usually defined for variables with numerical coefficients. While the definition is sufficient to combine polynomial terms, it does not help the students to combine radical, logarithmic, or trigonometric terms. The purpose of this paper is to propose a lesson that introduces a broader definition of like terms and trialed with a group…

Evidence is emerging that technology-based curricula and adaptive learning systems can personalize students' learning experiences and facilitate development of mathematical skills. Yet, evidence of efficacy in rigorous studies for these blended instructional models is mixed. These studies highlight challenges implementing the systems in…