<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Janet Jahudin</style></author><author><style face="normal" font="default" size="100%">Nyet   Moi Siew</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">AN ALGEBRAIC THINKING SKILL TEST IN PROBLEM-SOLVING FOR SEVENTH GRADERS  </style></title><secondary-title><style face="normal" font="default" size="100%">Problems of Education in the 21st Century</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">algebraic thinking skills</style></keyword><keyword><style  face="normal" font="default" size="100%">linear equations</style></keyword><keyword><style  face="normal" font="default" size="100%">problem-solving</style></keyword><keyword><style  face="normal" font="default" size="100%">Rasch analysis</style></keyword><keyword><style  face="normal" font="default" size="100%">validity and reliability</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2023</style></year><pub-dates><date><style  face="normal" font="default" size="100%">April/2023</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://oaji.net/articles/2023/457-1683097601.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">81</style></volume><pages><style face="normal" font="default" size="100%">Continuous</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">Diagnostic tests have been developed previously to measure algebraic thinking skills; however, the tests do not specifically address algebraic problem-solving. Thus, an Algebraic Thinking Test (ATT) Instrument was developed to measure algebraic thinking skills in problem-solving involving linear equations. ATT comprises nine open-ended questions with three algebraic thinking constructs: Generalized Arithmetic, Functions and Modeling. Generalized arithmetic involves students in efficient calculation and generalization; functional involves identifying number patterns, while modelling involves solving open-ended problems, identifying similarities, and performing calculations involving variables. This study is meant to determine the quality of ATT instruments through the validity and reliability analysis using the Rasch Measurement Model. The sample consisted of 120 seventh graders aged 12 to 13, selected from two secondary schools in the Tuaran district, Malaysia. The instrument was found to have a strong dimensionality and high construct validity. The reliability of Cronbach Alpha (KR-20) demonstrated a value of .90 (very high), and item and respondent reliability of .98 (excellent) and .86 (good), respectively, with an item separation index of 6.29 and 2.45 for the person separation index. ATT has good validity and high reliability in measuring algebraic thinking skills among seventh graders in secondary schools.</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">Original article</style></work-type><section><style face="normal" font="default" size="100%">223-243</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Fatma Cumhur</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PRE-SERVICE TEACHERS’ APPROACHES TO GUIDING STUDENTS IN PROBLEM SOLVING PROCESS </style></title><secondary-title><style face="normal" font="default" size="100%">Problems of Education in the 21st Century</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">guiding approaches</style></keyword><keyword><style  face="normal" font="default" size="100%">multiple case study</style></keyword><keyword><style  face="normal" font="default" size="100%">pre-service teacher</style></keyword><keyword><style  face="normal" font="default" size="100%">problem-solving</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2022</style></year><pub-dates><date><style  face="normal" font="default" size="100%">February/2022</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://oaji.net/articles/2022/457-1645650922.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">80</style></volume><pages><style face="normal" font="default" size="100%">Continuous</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">Understanding students’ mathematical thinking in problem solving process plays an important role in facilitating the solution. Hence, teachers or pre-service teachers need to understand students’ thoughts and guide them to the correct answer. The aim of this study was to examine pre-service teachers’ approaches to guiding students in problem solving process. Designed as a case study, this study was carried out with five pre-service primary mathematics teachers. In the study, participants’ dialogues with 7th grade students were examined through 3 non-routine problems. The dialogues were transcribed and it was tried to reveal what kind of approaches the participants displayed. The content analysis was used in data analysis. The findings revealed that pre-service teachers followed Polya's problem-solving steps during their guiding approaches. Most pre-service teachers provided appropriate guidance in understanding the problem, selecting and implementing appropriate strategies for the problem; however, they failed to use the evaluative approaches sufficiently.</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">Original article</style></work-type><section><style face="normal" font="default" size="100%">144-161</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Radka Dofková</style></author><author><style face="normal" font="default" size="100%">Michaela Surá</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NONSTANDARD MATH WORD PROBLEMS AND ANALYSIS OF THE PARTIAL STAGES OF ITS SOLUTION</style></title><secondary-title><style face="normal" font="default" size="100%">Problems of Education in the 21st Century</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">mathematics teaching</style></keyword><keyword><style  face="normal" font="default" size="100%">primary school mathematics</style></keyword><keyword><style  face="normal" font="default" size="100%">problem-solving</style></keyword><keyword><style  face="normal" font="default" size="100%">prospective teachers</style></keyword><keyword><style  face="normal" font="default" size="100%">word problem</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2021</style></year><pub-dates><date><style  face="normal" font="default" size="100%">October/2021</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://oaji.net/articles/2021/457-1634799891.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">79</style></volume><pages><style face="normal" font="default" size="100%">Continuous</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">Choosing the right strategy is an important condition to successfully solve math problems. Research studies often present individual types of strategies more or less separately. This study aims to determine student solutions of selected word problems in the whole context of the solution process. In this context, such nonstandard word problems combine verbal formulation and the character of nonstandard problems (impossible to be solved using an algorithm). In order to get an overall picture of the stages of word problem solution, an analysis of solving a given word problem was conducted among 171 respondents aged 10-11. The analysis was conducted in compliance with partial steps of word problem processing, as the solving of the problem was viewed from a wider perspective. The student’s reaction to the problem, working with the given information, individual forms of solution, and answer formation were recorded. In order to have a more complex idea and possibility to compare, the chosen way of solving the problem was also presented to a selected sample of 26 teachers. Available solutions were analyzed, and there were sought ways how the solution was assessed by the teachers based on selected parameters. Especially their meta-cognitive estimation of the correctness of their own solution was subject to scrutiny.
Despite the fact that the respondents chose different strategies of solution (graphic, arithmetical, using judgment, etc.), it appears that the success rate of solving the given nonstandard word problem was very low. Thus, it is necessary to implement such word problems into standard math lessons, also within pre-graduate teacher preparation.
</style></abstract><issue><style face="normal" font="default" size="100%">5</style></issue><work-type><style face="normal" font="default" size="100%">Original article</style></work-type><section><style face="normal" font="default" size="100%">716-727</style></section></record></records></xml>