A New Form of Understanding Maps:Multiple Representations with Pirie and Kieren Model of Understanding

Date

2018-03-01

Author

Düzenli Gökalp, Nurgül
Bulut, Safure

Metadata

Show full item record

Item Usage Stats

294
views

0
downloads

The purpose of this study was to improve the mapping feature of the Pirie and Kieren model in the light of the use of multiple representations, to increase depicting power of the maps produced. As one of the qualitative research methods, case study design was used. This study was conducted with a sixth grade student at a public primary school in Turkey. Activity sheets, self-evaluation forms, and journals were used to collect data in addition to the semi-structured interview. The data collected from the interview were used to depict understanding maps of the student. The data from activity sheets, student journals, observations, and self-evaluation forms were used to strengthen the findings from the interview. This study showed that there was a relationship between the students’ preference on the use of different type of representations and attained understanding level of multiplication of fractions. Moreover, it was seen that there was a relationship between question type and the students’ use of representations.

URI

https://hdl.handle.net/11511/80514
https://openjournals.library.sydney.edu.au/index.php/CAL/article/view/12454/0

Journal

International Journal of Innovation in Science and Mathematics Education

Collections

Department of Secondary Science and Mathematics Education, Article

Suggestions

OpenMETU
Core

A NEW STRAIGHT LINE RECONSTRUCTION METHODOLOGY FROM MULTI-SPECTRAL STEREO AERIAL IMAGE Ok, Ahmet; Heipke, C.; Rottensteiner, F.; Soergel, U.; Toprak, V. (2010-09-03) In this study, a new methodology for the reconstruction of line features from multispectral stereo aerial images is presented. We take full advantage of the existing multispectral information in aerial images all over the steps of pre-processing and edge detection. To accurately describe the straight line segments, a principal component analysis technique is adapted. The line to line correspondences between the stereo images are established using a new pair-wise stereo matching approach. The approach involv...
A procedure on ground motion selection and scaling for nonlinear response of simple structural systems Ay, Bekir Özer (2012-10-01) This study presents a ground-motion selection and scaling methodology that preserves the basic seismological features of the scaled records with reduced scatter in the nonlinear structural response. The methodology modifies each strong-motion recording with known fundamental seismological parameters using the estimations of ground-motion prediction equations for a given target hazard level. It provides robust estimations on target building response through scaled ground motions and calculates the dispersion...
An iterative adaptive multi-modal stereo-vision method using mutual information Yaman, Mustafa; Kalkan, Sinan (2015-01-01) We propose a method for computing disparity maps from a multi-modal stereo-vision system composed of an infrared-visible camera pair. The method uses mutual information (MI) as the basic similarity measure where a segment-based adaptive windowing mechanism is proposed along with a novel MI computation surface with joint prior probabilities incorporated. The computed cost confidences are aggregated using a novel adaptive cost aggregation method, and the resultant minimum cost disparities in segments are plan...
A METHOD FOR COMPARATIVE-EVALUATION OF EIT ALGORITHMS USING A STANDARD DATA SET IDER, YZ; EYUBOGLU, BM; KUZUOGLU, M; Leblebicioğlu, Mehmet Kemal; BAYSAL, U; CAGLAR, BK; BIRGUL, O (IOP Publishing, 1995-08-01) The point spread function (PSF) is the most widely used tool for quantifying the spatial resolution of imaging systems. However, prerequisites for the proper use of this tool are linearity and space invariance. Because EIT is non-linear it is only possible to compare different reconstruction algorithms using a standard data set. In this study, the FEM is used to generate simulation data, which are used to investigate the non-linear behaviour of EIT, the space dependence of its PSF and its capability of reso...
A new method for the verification of effective medium parameters for metamaterials Metamalzeme etki̇n ortam parametreleri̇ni̇n doǧrulanmasi i̇çi̇n yeni̇ bi̇r yöntem Ekmekçi, Evren; Sayan, Gönül (2011-07-21) In this study, a new method is proposed to verify the estimated effective medium parameters which are extracted from the transmission and reflection characteristics of metamaterial arrays. For this purpose, transmission and reflection characteristics of a broadside-coupled split ring resonator (BC-SRR) array are obtained by using CST Microwave Studio (CST MWS) and effective medium parameters (εeff and μeff) are extracted from these data. The extracted parameters are fitted to the Lorentz model and Lorentz p...

Citation Formats

N. Düzenli Gökalp and S. Bulut, “A New Form of Understanding Maps:Multiple Representations with Pirie and Kieren Model of Understanding,” International Journal of Innovation in Science and Mathematics Education, pp. 1–21, 2018, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/80514.