Conventional coordinate systems are often considered representational tools for reasoning about mathematical concepts. However, researchers have shown that students experience persistent difficulties as they engage in graphing activity. Using examples from research and textbooks, we present a framework based on a conceptual analysis of the use of…

In tiered instructional systems (Response to Intervention [RTI]/Multitier System of Supports [MTSS]) that rely on ongoing assessment of students at risk of experiencing academic difficulties, the ability to make informed decisions using student data is critical for student learning. Prior research has demonstrated that, on average, teachers have…

Chemistry curriculum should account for learning in context and understanding chemistry at the macroscopic and microscopic levels: the symbol level and the process level. The "Taste of Chemistry" learning module, developed for high school chemistry majors (students who choose to study the advanced chemistry program in high school),…

The aim of this research was comparing the performance of primary school Chilean children when reading different types of graphs included in the primary school curriculum in this country (pictogram, line graph, pie chart and dot plot). A sample of 745 6th and 7th Grade students were given a questionnaire including four tasks in each of which they…

Sonification is the use of non-speech audio to convey information. In this article, sonifications are representations of plots aimed at improving the accessibility of teaching materials. The electronic nature of sonifications means that they can be deployed to students via teaching interfaces such as virtual learning environments. We describe a…

K-12 students are expected to acquire competence in data display as part of developing statistical literacy. To support research, assessment design, and instruction, we developed a hypothesized learning progression (LP) using existing empirical literature in the fields of mathematics and statistics education. The data display LP posits a…

Sketching the graph of mathematical functions using derivatives is a challenging task for undergraduate students who enrol for the first level of calculus course. Before graph plotting, students are required to perform a thorough function analysis using the concepts learned in differentiation. They are then expected to solicit the results obtained…

Goal setting is utilized by adults regularly to foster success. It has also been shown to benefit academic achievement. This 8-week study sought to determine the effects of goal setting on motivation, self-efficacy, and math achievement in elementary students. The quasi-experimental study included 70 students in 3rd and 4th grade math classes.…

This survey design study was designed to test whether the graph skills and affective states of middle school students about graphs differ by their gender, grade level, and graph types (line, bar, and pie). The data collection instruments consisted of two scales developed by the authors and a Graph Skills Test, which consisted of graph questions…

This study sets for itself the task of constructing a learning trajectory for the fundamental theorem of calculus (FTC) that takes into account the interaction with an educational digital tool. Students were asked to explain the connections between interactive and multiple-linked representations in an educational digital tool, and to conjecture…

A green chemistry experiment is presented for teaching an undergraduate quantitative analysis/analytical chemistry laboratory class through the use of black tea leaf extract for the determination of iron in supplement tablets. Dried tea leaf is a safe, low cost, and widely available source of natural extract that can be used in place of more toxic…

In the present article, a scheme that summarizes the biochemical events occurring in the human body after the consumption of a meal is proposed. The scheme illustrates the metabolic sequence as a series of counteracting components occupying opposite positions in a cycle, indicating their opposite actions or physiological states, such as meal…

When establishing connections among representations of associated mathematical concepts, students encounter different difficulties and successes along the way. The purpose of this study was to uncover information about and gain greater insight into how student processes connections. Pre-calculus students were observed and interviewed while…

Curriculum-Based Measurement of Reading (CBM-R) is frequently used to monitor instructional effects and evaluate response to instruction. Educators often view the data graphically on a time-series graph that might include a variety of statistical and visual aids, which are intended to facilitate the interpretation. This study evaluated the effects…

Prior graphing research has demonstrated that clinical interviews and free-response instruments produce very different results than multiple-choice instruments, indicating potential validity problems when using multiple-choice instruments to assess graphing skills (Berg & Smith in "Science Education," 78(6), 527-554, 1994). Extending…