scholarly journals Preservice mathematics teachers’ competencies in the process of transformation between representations for the concept of limit: A qualitative study

2020 ◽  
Vol 10 (4) ◽  
pp. 1037-1066
Author(s):  
Okan Kuzu
Keyword(s):  
Content Knowledge ◽  
Mathematics Teachers ◽  
Transformation Process ◽  
State University ◽  
Verbal Representation ◽  
Limit Problems ◽  
Verbal Data ◽  
Preservice Mathematics Teachers ◽  
Central Turkey

In this study, external representations and the problems encountered related transformation process between representations towards limit concept were investigated. "Limit Representation Conversion Test" was administered to 41 preservice mathematics teachers studying at a state university in central Turkey during 2018–2019 academic years. In this study, which was designed with the case study model, which is one of the qualitative research models, the data were analyzed by content analysis. Unstructured interviews were made with preservice mathematics teachers whose explanations were insufficient or differed and the problems encountered were determined. It was observed that preservice mathematics teachers had most difficulties in the verbal representation type questions. It was revealed that preservice mathematics teachers who gave the wrong answers mostly had deficiencies in the concept and the process and could not fully understand the limit problems. It was determined that preservice mathematics teachers had difficulties in knowing the concept of limit point, determining the function and interpreting verbal data. It was seen that preservice mathematics teachers who proceeded towards the concept and process answered wrong due to mathematical operations errors and carelessness. When the wrong answers were examined, it was observed that errors were gathered under the themes "lack of content knowledge" and "lack of reading comprehension" for verbal type input; under the theme "carelessness" for graphical type input; under the theme "lack of content knowledge" for algebraic and numerical type input.

scholarly journals Preservice Mathematics Teachers' Representation Transformation Competence Levels in the Process of Solving Limit Problems

2020 ◽  
Vol 13 (2) ◽  
pp. 306-315
Author(s):  
Okan KUZU
Keyword(s):  
Preservice Teachers ◽  
Mathematics Teachers ◽  
Numerical Representation ◽  
Algebraic Representation ◽  
Verbal Representation ◽  
Limit Problems ◽  
Preservice Mathematics Teachers ◽  
Positive Correlations ◽  
Transformation Competence ◽  
Representation Transformation

Abstract: In this study, representations used by preservice mathematics teachers in the process of solving limit problems were determined, the inter-representation transformation competence levels were investigated and the relationship between them was examined. In this context, “Limit Representation Transformation Test” with a reliability of .908 was administered to 50 preservice teachers attending to a state university in the Central of Turkey. Preservice teachers had most difficulty in solving problems that had verbal representation inputs, especially they achieved low performances in transformation from verbal to numerical representation. Although, in general, they achieved the highest performance in the problem that had numerical representation input, they also achieved very high performances in the problems that had graphical and algebraic representation inputs. Specifically, they performed very well in the problems that required transformation from an algebraic representation to a verbal representation. Moreover, significant positive correlations were found among preservice teachers’ representation transformation competence levels.

Improving mathematics teachers’ content knowledge via brief in‐service: a US case study

2009 ◽  
Vol 35 (4) ◽  
pp. 531-545 ◽  
Author(s):  
Laura L. Feuerborn ◽  
Donald Chinn ◽  
Garvin Morlan
Keyword(s):  
Content Knowledge ◽  
Mathematics Teachers

scholarly journals The Effect of Technological Pedagogical Content Knowledge Game Activities Supported Micro-Teaching Practices on Preservice Mathematics Teachers’ Self-Efficacy Perception

2020 ◽  
Vol 13 (2) ◽  
pp. 157-173
Author(s):  
Kübra AÇIKGÜL
Keyword(s):  
Middle School ◽  
Preservice Teachers ◽  
Pedagogical Content Knowledge ◽  
Content Knowledge ◽  
Mathematics Teachers ◽  
Self Efficacy ◽  
Teaching Practices ◽  
Technological Pedagogical Content Knowledge ◽  
Pedagogical Content ◽  
Preservice Mathematics Teachers

Abstract: The purpose of this study is to investigate the effect of Technological Pedagogical Content Knowledge (TPACK) Game activities supported micro-teaching practices on middle school preservice mathematics teachers’ TPACK self-efficacy perception levels. A single group pretest-posttest experimental design was employed. One hundred middle-school preservice mathematics teachers, attending a mathematics instruction course, participated in the study. The Technological Pedagogical Content Knowledge Survey (Șahin, 2011) was used to determine teachers' level of TPACK-measured self-efficacy. One-way Repeated Measures ANOVA was performed to analyze possible differences between teachers' pre and post self-efficacy scores. The result of this analysis demonstrated a statistically meaningful difference for the overall survey as well as for all dimensions of it. These findings suggest that micro-teaching practices do indeed increase preservice teachers' TPACK self-efficacy perception scores.

scholarly journals Implementation of Pedagogical Content Knowledge (PCK) of Mathematics Teachers in Teaching Practice: A Case Study

2017 ◽  
Vol 10 (3) ◽  
pp. 11 ◽  
Author(s):  
Maryono Maryono ◽  
Akbar Sutawidjaja ◽  
Subanji Subanji ◽  
Santi Irawati
Keyword(s):  
Pedagogical Content Knowledge ◽  
Content Knowledge ◽  
Mathematics Teachers ◽  
Teaching Practice ◽  
Linear Equations ◽  
Video Tape ◽  
Material System ◽  
Pedagogical Content ◽  
The Subject

This study aims to describe the implementation of pedagogical content knowledge (PCK) of mathematics teachers in the teaching practice of the material system of linear equations of two variables (SLETV). The approach used is a qualitative case study. The main instrument is the researchers themselves and the supporting instruments is a vignette sheet, sheet Content Representation (CoRe), and video tape recorders (Handycam). Research procedure includes providing vignette sheets and sheets of CoRe, making instructional videos and conducting the interview. Data were analyzed using frameworks Karahasan. The results showed that the subject 1 (S1) found that the implementation of the PCK S1 when teaching increased from PCK S1 prior to the implementation of the teaching practice, while the subject 2 (S2) found that the implementation of the PCK S2 upon teaching declined from PCK S2 prior to the implementation of the teaching practice.

Engaging Preservice Secondary Mathematics Teachers in Authentic Mathematical Modeling: Deriving Ampere's Law

2019 ◽  
Vol 8 (1) ◽  
pp. 76-91
Author(s):  
Kimberly Corum ◽  
Joe Garofalo
Keyword(s):  
Mathematical Modeling ◽  
Content Knowledge ◽  
Mathematics Teachers ◽  
Secondary Mathematics ◽  
Thinking Skills ◽  
Future Teachers ◽  
Mathematics Pedagogy ◽  
Pedagogical Content ◽  
Preservice Mathematics Teachers ◽  
The Magnetic Field

Incorporating modeling activities into classroom instruction requires flexibility with pedagogical content knowledge and the ability to understand and interpret students' thinking, skills that teachers often develop through experience. One way to support preservice mathematics teachers' (PSMTs) proficiency with mathematical modeling is by incorporating modeling tasks into mathematics pedagogy courses, allowing PSMTs to engage with mathematical modeling as students and as future teachers. Eight PSMTs participated in a model-eliciting activity (MEA) in which they were asked to develop a model that describes the strength of the magnetic field generated by a solenoid. By engaging in mathematical modeling as students, these PSMTs became aware of their own proficiency with and understanding of mathematical modeling. By engaging in mathematical modeling as future teachers, these PSMTs were able to articulate the importance of incorporating MEAs into their own instruction.

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