Reflections on a Technology–Rich Mathematics Classroom

2011 ◽  
Vol 104 (6) ◽  
pp. 432-438
Author(s):  
Thomas E. Hodges ◽  
Elizabeth Conner
Keyword(s):  
Content Knowledge ◽  
Technology Use ◽  
Mathematics Classroom ◽  
Teaching Tools ◽  
Integrating Technology ◽  
The Subject ◽  
Technology Pedagogy

Integrating technology into the mathematics classroom means more than just new teaching tools—it is an opportunity to redefine what it means to teach and learn mathematics. Yet deciding when a particular form of technology may be appropriate for a specific mathematics topic can be difficult. Such decisions center on what is commonly being referred to as TPACK (Technological Pedagogical and Content Knowledge), the intersection of technology, pedagogy, and content (Niess 2005). Making decisions about technology use influences not only students' conceptual and procedural understandings of mathematics content but also the ways in which students think about and identify with the subject.

scholarly journals EXAMINING PROSPECTIVE TEACHERS’ BELIEF AND PEDAGOGICAL CONTENT KNOWLEDGE TOWARDS TEACHING PRACTICE IN MATHEMATICS CLASS: A CASE STUDY

2019 ◽  
Vol 10 (2) ◽  
pp. 185-202 ◽  
Author(s):  
Muhtarom Muhtarom ◽  
Dwi Juniati ◽  
Tatag Yuli Eko Siswono
Keyword(s):  
Pedagogical Content Knowledge ◽  
Content Knowledge ◽  
Prospective Teachers ◽  
Teaching Practice ◽  
Mathematics Classroom ◽  
Pedagogical Content ◽  
Good Communication ◽  
Good Communication Skill ◽  
Two Factors ◽  
The Relationship

Beliefs and pedagogical content knowledge (PCK) are two factors influencing teaching practice in the classroom. This research aims to describe the beliefs and PCK of the prospective mathematics teachers and the relationship between the two factors on the teaching practices in the mathematics classroom. Participant in this research includes a prospective teacher who has taken a micro teaching subject and has good communication skill. Data were collected through interview and video analysis on the teaching practice in the classroom. The data obtained were coded, simplified, presented, and triangulated for the credibility and concluded. The result of the research shows that the prospective teachers who hold a constructivist belief view mathematics as a dynamic knowledge which evolves and is regarded as the space of creation for humans. Their beliefs on the nature of mathematics support the belief in the teaching-learning process in mathematics classrooms. Furthermore, a good understanding of the prospective teachers have on the components of the PCK has been sufficient, which can be identified in every step of practical activities in the classroom. More elaboration on the relationship between the belief and PCK is presented in this research.

Subject Expertise and Teachers’ Knowledge

1998 ◽  
Vol 17 (3) ◽  
pp. 342-356 ◽  
Author(s):  
Paul G. Schempp ◽  
Dean Manross ◽  
Steven K.S. Tan ◽  
Matthew D. Fincher
Keyword(s):  
Pedagogical Content Knowledge ◽  
Content Knowledge ◽  
Student Motivation ◽  
Evaluation Criteria ◽  
Subject Area ◽  
Pedagogical Content ◽  
Perceptions Of Students ◽  
Subject Matter Expertise ◽  
The Subject ◽  
Definition Of

The purpose of the study was to ascertain the influence of subject matter expertise on teachers’ pedagogical content knowledge. Data were collected through multiple, extended interviews with 10 teachers with expertise in at least 1 subject area in physical education. Each teacher was interviewed 4 times for approximately 1 hour, focusing on the teacher’s familiarity with 2 content areas (1 expert and 1 nonexpert) and their experiences teaching the subjects. Data were analyzed using the constant comparative technique. The findings were presented with reference to Grossman’s (1990) definition of pedagogical content knowledge. Subject experts identified their largest pedagogical problem as student motivation, while nonexperts believed finding appropriate activities was their greatest challenge. Subject experts were more comfortable and enthusiastic about pedagogical duties and could accommodate a greater range of abilities. The experts and nonexperts revealed no differences in curricular selection, perceptions of students’ understanding of the subject, or evaluation criteria.

Knowledge Needed by a Teacher to Provide Analytic Scaffolding During Undergraduate Mathematics Classroom Discussions

2009 ◽  
Vol 40 (5) ◽  
pp. 530-562 ◽  
Author(s):  
Natasha M. Speer ◽  
Joseph F. Wagner
Keyword(s):  
Content Knowledge ◽  
Mathematics Classroom ◽  
Theoretical Orientation ◽  
Teaching Experience ◽  
Experienced Teacher ◽  
Undergraduate Mathematics ◽  
Knowledge For Teaching ◽  
Class Discussions ◽  
Whole Class ◽  
And Mathematics

Using case study analysis and a cognitive theoretical orientation, we examine elements of knowledge for teaching needed by a mathematician to orchestrate whole-class discussions in an undergraduate mathematics classroom. The instructor, an experienced teacher and mathematics researcher, used an inquiry-oriented curriculum to teach a differential equations course for the first time after teaching it with traditional lecture methods for many years. Examples of classroom teaching and interview data demonstrate that, despite having extensive teaching experience and possessing strong content knowledge, some instructors may still face challenges when trying to provide analytic scaffolding to move whole-class discussions toward a lesson's mathematical goals. We also hypothesize several component practices necessary for the successful use of analytic scaffolding. Our analysis focuses on the relationship between the instructor's pedagogical content knowledge and specialized content knowledge and his capacity to enact these component practices during whole-class discussions.

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