An interview with a sixth-grade student illustrates how her number sense and understanding of variability relate to her ability and proclivity to apply a frequentist (statistical) approach to probability tasks. A general suggestion for teaching about mathematics of uncertainty through the gradual strengthening of estimation, as per the historical…

Dynamic/interactive graphing applets can be used to supplement standard computer algebra systems such as Maple, Mathematica, Derive, or TI calculators, in courses such as Calculus, Differential Equations, and Dynamical Systems. The addition of this type of software can lead to discovery learning, with students developing their own conjectures, and…

This study analysed the extent to which literate native speakers of a language with a phonemic alphabetic orthography rely on their first language (L1) orthography during second language (L2) speech production of a language that has a morphophonemic alphabetic orthography. The production of the English flapping rule by 15 adult native speakers of…

This article describes a laboratory module on Fourier series and Gibbs phenomenon which was undertaken by 32 Year 12 students. It shows how the use of CAS played the role of an "amplifier" by making higher level mathematical concepts accessible to students of year 12. Using Mathematica students were able to visualise Fourier series of…

With the growing emphasis on the development of scientific inquiry skills, the display and interpretation of data are becoming increasingly important. Graph interpretation competence is, in fact, essential to understanding today's world and to be scientifically literate. However, graph interpretation is a complex and challenging activity. Graph…

Tables are a presentation format that is commonly used to organize information, and they are widely present in many scenarios of our students' everyday activities; however, there is a scarcity of studies devoted to their analysis. Some of these studies point out that the organization of data into a double-entry table presents difficulties for…

Language is a means of identity formation, definition and construction. This study investigates the language of NOUN course materials for gender neutrality. The English course materials randomly selected across subject areas in the English programme are used as data source. The theoretical base of corpus linguistics within the frame work of…

Using an interactive map-based PDF, students learn key concepts related to biodiversity while developing data-analysis and critical-thinking skills. The Bird Island lesson provides students with experience in translating geospatial data into bar graphs, then interpreting these graphs to compare biodiversity across ecoregions on a fictional island.…

Two studies were conducted to examine the effects of an embedded parent-child shared reading intervention on children's phonological awareness skills. Seven children considered at-risk for reading difficulty listened to 6 pre-recorded children's books with embedded early literacy activities three times each with a parent. Children's…

The seasons are often modeled for students using two spherical objects, one representing the Sun and one representing the Earth. Solely using this model, however, neglects a critical aspect of learning--how students actually see the world. This lesson challenges students to explore seasonal variations as they create and analyze sunrise/sunset…

Statistical graphs are commonly used in scientific publications. Unfortunately, graphs in psychology journals rarely portray distributional information beyond central tendency, and few graphs portray inferential statistics. Moreover, those that do portray inferential information generally do not portray it in a way that is useful for interpreting…

Purpose: The mental lexicon of words used for spoken word recognition has been modeled as a complex network or graph. Do the characteristics of that graph reflect processes involved in its growth (M. S. Vitevitch, 2008) or simply the phonetic overlap between similar-sounding words? Method: Three pseudolexicons were generated by randomly selecting…

The purpose of this study was to examine the effects of e-mailed specific performance feedback that included progress monitoring graphs on induction-level teachers' ratios of positive-to-negative communication behaviors and their use of behavior-specific praise in classrooms for students with emotional and behavioral disorders, mild intellectual…

The ongoing collection and documentation of evidence of students' performance in the classroom is a fundamental component of formative instructional practices, essential for ensuring student success. Multiple methods of collecting and documenting evidence of students' academic performance in the classroom are described. These methods include…

National Council of Teachers of Mathematics' (NCTM's) (2000) Connections Standard states that students should "recognize and use connections among mathematical ideas; understand how mathematical ideas interconnect ...; [and] recognize and apply mathematics in contexts outside of mathematics" (p. 354). This article presents an in-depth…