This paper aims to contribute to discussions on the multimodal nature of cognition through an elaboration of the ways multimodal aspects of thinking are exploited by learners doing mathematics. Moving beyond the fact "that" multimodality occurs, this paper focuses on "how" it occurs, with particular attention drawn to the…

Graphing is an essential skill that forms the foundation of any physical science. Understanding the relationships between measurements ultimately determines which modeling equations are successful in predicting observations. Over the years, science and math teachers have approached teaching this skill with a variety of techniques. For secondary…

The simple process of iteration can produce complex and beautiful figures. In this article, Robin O'Dell presents a set of tasks requiring students to use the geometric interpretation of complex number multiplication to construct linear iteration rules. When the outputs are plotted in the complex plane, the graphs trace pleasing designs…

Chocolate chip cookies are used to illustrate the importance and effectiveness of control charts in Statistical Process Control. By counting the number of chocolate chips, creating the spreadsheet, calculating the control limits and graphing the control charts, the student becomes actively engaged in the learning process. In addition, examining…

Transnational social fields and transnational social spaces are often used interchangeably to describe and analyze emergent structures of cross-border formations. In this article, we suggest measuring two key aspects of these social structures: embeddedness and span of migrants' personal networks. While clustered graphs allow assessing…

We use eye tracking as a method to examine how different mathematical representations of the same mathematical object are attended to by students. The results of this study show that there is a meaningful difference in the eye movements between formulas and graphs. This difference can be understood in terms of the cultural and social shaping of…

Can individuals guess the gender of a writer based on a sample of his or her handwriting? We administer an electronic survey twice to the same individuals to find out. The resulting data set is interesting to students, rich enough to be amenable to a wide array of activities, and open to a variety of exploratory tacks for statistics students and…

Researchers have identified challenges students face when modeling dynamic situations. This report discusses the results of semi-structured clinical interviews with ten prospective secondary mathematics teachers who were provided with a dynamic image of a growing and shrinking cone. We asked the students to graph the relationship between the…

WYTHOFF is played on a pair of nonnegative integers, (M, N). A move either subtracts a positive integer from precisely one of M or N such that the result remains nonnegative, or subtracts the same positive integer from both M and N such that the results remain nonnegative. The first player unable to move loses. RATWYT uses rational numbers…

During the first years of teaching, new special education teachers (SETs) face many unique challenges as they work to establish themselves as professionals. Upon entering the classroom on the first day of instruction, SETs are expected to be prepared, and they are presented with a daunting list of responsibilities and expectations, including the…

The aim of this present research is to specify the interrelation between the happiness and self-efficacy levels of the school administrators. This study is a descriptive survey model, and its population consists of the school principals and deputy principals in Amasya Province which are the subsidiaries of the Ministry of National Education. The…

Based on Robinson's Triadic Componential Framework and the definition of task planning by Ellis (2005), this study was carried out to find out the effects of task planning and rhetorical mode on lexical and syntactic complexity, and overall writing quality of writing production of EFL learners. Following a repeated-measures design, the present…

We designed and implemented a modified eight-week Direct Instruction (DI) program intended to teach a third grade student with learning disabilities to tell time. The first objective was to determine whether or not the appearance (interesting or boring) of the worksheet affected performance. These data suggested the use of large-scale clocks and…

Students with Emotional Behavioral Disorders (EBD) are considered the most challenging students to include in the regular education environment. Self-contained classrooms are typically the preferred classroom for students with EBD in comparison to inclusion programs because of the problematic behaviors that are associated with these students.…

Summary writing is an important skill that students use throughout their academic careers, writing supports reading and vocabulary skills as well as the acquisition of content knowledge. This exploratory and development-oriented investigation appraises the recently released online writing system, "Graphical Interface of Knowledge…