This study aims to investigate and compare mathematics teachers' knowledge of pedagogical content, knowledge of students' understanding and knowledge of instructional strategies, subcomponents of pedagogical content knowledge, student errors in the relationship between perimeter and areas in rectangles, squares, and parallelograms. 10…

The aim of this study is to reveal and evaluate the attending and interpreting skills of student thinking of prospective teachers, as well as their instructional suggestions as responding skills. The current study was conducted with 29 prospective mathematics teachers (PMTs) within a qualitative design in the context of probability. First, three…

This study aims to determine how prospective middle school mathematics teachers respond to students' errors in the questions about the equal sign. This study utilizes case study method. In this case study, hypothetical scenarios, involving three common error types related to the equal sign, have been prepared by using the possible examples of…

This qualitative case study aimed to investigate prospective middle school mathematics teachers' instructional responses based on the students' correct and incorrect functional thinking within the context of pattern generalization. The data were collected from thirty-two prospective teachers through a written task and semi-structured interviews…

The study aims to investigate prospective middle school mathematics teachers' mental actions related to debugging, which is one of the computational thinking skills in the modeling process. The study was conducted with a single-case embedded model. The collaborative working group consisted of three prospective mathematics teachers selected by…

In this study, 118 native speakers of Japanese watched 48 separate video clips in which a teacher provided recasts on phonological or lexical errors to students in Portuguese, a language with which the participants were unfamiliar. In the video clips, six recast characteristics were manipulated: length, segmentation (segmented/whole), prosodic…

The results of educational research studies are only as accurate as the data used to produce them. Drawing on experiences conducting large-scale efficacy studies of classroom-based algebra interventions for community college and middle school students, I am developing practice-based data cleaning procedures to support scholars in conducting…

Constructivist pedagogies cannot achieve their critical thinking ambitions. Constructivism, and constructivist epistemological presuppositions, actively thwarts the critical thinking process. Using Wittgenstein's private language argument, this paper argues that corrective mechanisms--the ability to correct a student's propositions and cognitions…

Middle school is a crucial transition period for students as they move from concrete to algebraic ways of thinking. This article describes a sequence of instruction geared toward helping prospective middle school instructors teach the topic of percentages.

What does it look like to "understand" operations with fractions? The Common Core State Standards for Mathematics (CCSSM) uses the term "understand" when describing expectations for students' knowledge related to each of the fraction operations within grades 4 through 6 (CCSSI 2010). Furthermore, CCSSM elaborates that…

In January 2009, in the last week of the Bush Administration, the U.S. Department of Education (ED), upon orders from the departing political appointee staff, published the final report in a long running National Evaluation of Upward Bound (UB). The study was conducted by the contractor, Mathematica Policy Research. After more than a year in…

The 12th iteration of the International Conference on Educational Data Mining (EDM 2019) is organized under the auspices of the International Educational Data Mining Society in Montreal, Canada. The theme of this year's conference is EDM in Open-Ended Domains. As EDM has matured it has increasingly been applied to open-ended and ill-defined tasks…

These proceedings contain the papers of the International Conference e-Learning 2014, which was organised by the International Association for Development of the Information Society and is part of the Multi Conference on Computer Science and Information Systems (Lisbon, Portugal July 15-19, 2014). The e-Learning 2014 conference aims to address the…