EERA: Developing Technological Pedagogical Content Knowledge (TPACK) Scale Regarding Geometry
Author(s):Aykut Bulut (submitting)
Conference:ECER 2012, The Need for Educational Research to Champion Freedom, Education and
Development for All
Network:21. Emerging Researchers' Group (for presentation at Emerging Researchers' Conference)
Format:Symposium Paper
Session Information
ERG SES H 11, Technology
Parallel Paper Session
Time:2012-09-18
13:15-14:45
Room:FCEE - Aula 4.3.,Kap. 36
Contribution
Developing Technological Pedagogical Content Knowledge (TPACK)
Scale Regarding Geometry
Technology is essential in almost all areas of life. This evolution effects education as well. According to
National Council of Teachers of Mathematics [NCTM] (2000) technology influences the mathematics by
enhancing students? learning, which is also effected by teachers. Teachers play a central role in students?
learning, so teachers must be kept up with new challenges, and technologies. The effective use of technology
in the mathematics classroom depends on the teacher, so the appropriate technological tools that support
instructional goals must be selected carefully. To educate informed teacher about technology integration in
mathematics class, teacher preparation programs need to be well prepared (NCTM, 2000).In other words,
opportunities should be given to the teacher educators to assess preservice teachers? knowledge of technology
(Mishra & Koehler, 2006).
Technological pedagogical content knowledge (TPACK) is one of the adaptation forms of pedagogical
content knowledge (PCK). It emerges from interactions among technology knowledge, pedagogical
knowledge and content knowledge (Koehler & Mishra, 2008; Mishra & Koehler, 2006; Thompson & Mishra,
2007). Mishra and Koehler?s (2006) generated comprehensive framework, which has seven components and
three main parts. Content knowledge, pedagogical knowledge, and technology knowledge are the three main
constructs in TPACK. Other four components are the intersection parts of TPACK framework, which consist
of pedagogical content knowledge (PCK), technological content knowledge (TCK), technological pedagogical
knowledge (TPK), and technological pedagogical content knowledge (TPCK). Mishra and Koehler?s TPACK
framework was used in this study.
Geometry is one of the essential parts of school mathematics and mathematics curriculum. Students can
understand the shapes and their properties, apply geometric properties to real world situations, and solve
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EERA: Developing Technological Pedagogical Content Knowledge (TPACK) Scale Regarding Geometry
relevant problems in mathematics and other disciplines (Kilpatrick, Swafford, & Findell, 2001; NCTM,
2000). Computer environments are an ideal for teaching and learning geometry. If technology is used
appropriately, students? geometric understanding and intuition can be affected positively (Battissa, 2007;
Clements & Battissa, 1992). Dynamic Geometry Environments (DGEs) create dynamic and productive
interactions between teacher, students, and computers in order to support the teaching and learning of
geometry (Battista, 2001; Hoffer, 1983). When we consider the Mishra and Koehler?s framework, TPCK
refers to interrelationship between content (geometry), pedagogy (teaching and student learning), and
technology (dynamic software?s of geometry).
When we look at the literature, there are a limited number of instruments measuring teachers? TPACK.
Moreover, majority of the existing TPACK survey studies has been administered in the USA, and existing
surveys were too general to measure teachers? TPACK in specific content area such as geometry. Thus, in this
study a scale was developed in order to assess preservice mathematics teachers? perceived technological
knowledge. In other words, the purpose of the study is developing and validating the Perceived Technological
Pedagogical Content Knowledge on Geometry Scale.
Method
This study was conducted with preservice mathematics teachers who are enrolled in elementary mathematics
education departments of Education Faculties of two public universities located in Ankara, Turkey. Data were
collected from 279(225 female and 54 male) third and fourth grade elementary mathematics education
students. Two comprehensive TPACK studies, which belong to Schmidt et al. (2009) and Sahin (2011), were
selected in order to guide and adapt the new TPACK instrument regarding geometry.Both Schmidt et al.?s
(2009) study and Sahin?s (2011) study consist of seven subscales of TPACK. In a similar way, the scale of
this study, TPACK about geometry scale, consist of seven subscales and 54 items. The 6-point Likert scale
format ranging from strongly disagree to strongly agree was used in the scale. Content validation was ensured
with three experts? opinion. Cognitive interviewing was conducted with two preservice mathematics teachers
to gain face validity. To ensured construct validation and identify the factor structure of the instrument,
exploratory factor analysis was performed. A reliability coefficient (Cronbach?s alphas) of the scale was
measured by using PASW 18.
Expected Outcomes
In exploratory factor analysis, common factor analysis was preferred for the extraction technique, and
maximum likelihood was used for a factor extraction method. The Kaiser-Meyer-Olkin (KMO) value and
Bartlett?s test of sphericity (BTS) value were examined in order to ensure feasibility of factor analysis. BTS
was significant (BTS value=10357.86, p
References
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(1992). Geometry and spatial reasoning.In D. A. Grouws (Ed.), Handbook of Research on Mathematics
Teaching and Learning (pp. 420?464).New York: Macmillan. Hoffer, A. (1983). Van Hiele based research. In
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EERA: Developing Technological Pedagogical Content Knowledge (TPACK) Scale Regarding Geometry
Academic Press. Kilpatrick, J., Swafford, J., &Findell, B. (Eds). (2001). Adding it up: Helping children learn
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This proposal is part of a master or doctoral thesis.
Author Information
Aykut Bulut (submitting)
Middle East Technical University
Elementary Science and Mathematics Education
Ankara
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