Proportional Reasoning and Belief of Pre-Service Mathematics Teachers: The Use of Modified Authentic Investigation Activities (AIA) Model

机译：比例推理与服务前数学教师的信念：使用改进的真实调查活动（AIA）模型

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Proportional reasoning is fundamental for students as a part of higher-level mathematical reasoning. It is not only fundamental for students to learn mathematics but also important for teachers and pre-service mathematics teachers having a good capability in proportional reasoning because it can lead them to teach better mathematics. This study aims to analyze the implementation of Authentic Investigation Activity (AIA) model for enhancing proportional reasoning and beliefs of pre-service mathematics teachers. This is an experimental study with pre-test and post-test design. The population of this study are second year of pre-service mathematics teachers in mathematics education department of Garut District, West Java Province, Indonesia. Using random cluster sampling are 70 pre-service mathematics teachers as the sample of the study for both. The instrument in this study is a set of test that constructed for measuring the proportional reasoning of pre-service mathematics teachers and a set of the questioner for measuring mathematical beliefs of pre-service mathematics teachers. The proportional reasoning test consisted of six essay problems in the topic of ratio and proportion with three indicators: 1) differentiating proportional and non-proportional situation; 2) understanding the mathematical relationship in the proportional situation; and 3) solving the various problem in the proportional situation. The data were analyzed quantitative using a t-test and Mann-Whitney U test. The result of the study indicates that the AIA model can enhance the proportional reasoning of pre-service mathematics teachers especially in terms of differentiating proportional and non-proportional situation and understanding mathematical relationship in the proportional situation but not in solving the various problem in the proportional situation. However, the AIA model gives similar result for mathematical beliefs of pre-service mathematics teachers.

机译：比例推理是学生的基础，作为高层数学推理的一部分。对于学生来说，学习数学的基础是对教师和售前数学教师来说也很重要，因为它可以引导他们教授更好的数学。本研究旨在分析正宗调查活动（AIA）模型的实施，以提高售前数学教师的比例推理和信念。这是测试预测试和测试后设计的实验研究。本研究人口是在印度尼西亚西爪哇省西爪哇省的大学教育部数学教育部的第二年的数学教师。使用随机群集采样是70名售前数学教师，作为两者的研究样本。本研究中的仪器是一系列测试，用于衡量售前数学教师的比例推理以及用于测量售前数学教师的数学信仰的一套质疑。比例推理试验由比例和三个指标比例的六个论文问题组成：1）区分比例和非比例情况; 2）了解比例情况的数学关系; 3）在比例情况下解决各种问题。使用T检验和Mann-Whitney U测试分析数据进行定量。该研究的结果表明，AIA模型可以提高服务前数学教师的比例推理，特别是在分化比例和非比例情况方面，并在比例情况下了解数学关系，但不在对比例中解决各种问题而言情况。然而，AIA模型为售前数学教师的数学信仰提供了类似的结果。

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《International Conference on Science, Mathematics, Environment, and Education》|2019年|1 volume (various pagings) :|共7页
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Puji Lestari; Farida Nurhasanah; Dyah Ratri Aryuna; Henny Ekana Chrisnawati; Ira Kurniawati; Yemi Kuswardi; Arum Nur Wulandari;
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中图分类 O1-532;
关键词
Proportional Reasoning; Belief; Use;

机译：比例推理;信仰;使用;

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1. Designing and implementing authentic investigative proportional reasoning tasks: the impact on pre-service mathematics teachers’ content and pedagogical knowledge and attitudes [J] . David Ben-Chaim, Yaffa Keret, Bat-Sheva Ilany Journal of Mathematics Teacher Education . 2007,第4a6期

机译：设计和实施真实的调查比例推理任务：对职前数学老师的内容以及教学知识和态度的影响
2. Investigation of Pre-service Teachers’ Mathematics Teaching Efficacy Beliefs in Terms of their Reflective Thinking Tendencies [J] . Meltem Sari Uzun, Nazan Sezen Yüksel, ?enol Dost Procedia - Social and Behavioral Sciences . 2013,第2期

机译：职前教师的反思性思维倾向对数学教学效能信念的调查
3. Investigation of Pre-service Teachers’ Mathematics Teaching Efficacy Beliefs in Terms of their Reflective Thinking Tendencies [J] . Meltem Sari Uzun, Nazan Sezen Yüksel, ?enol Dost Procedia - Social and Behavioral Sciences . 2013,第2期

机译：职前教师的反思性思维倾向对数学教学效能信念的调查
4. Proportional Reasoning and Belief of Pre-Service Mathematics Teachers: The Use of Modified Authentic Investigation Activities (AIA) Model [C] . Puji Lestari, Farida Nurhasanah, Dyah Ratri Aryuna, International Conference on Science, Mathematics, Environment, and Education . 2019

机译：比例推理与服务前数学教师的信念：使用改进的真实调查活动（AIA）模型
5. Examining preservice secondary mathematics teachers' ability to reason proportionally prior to and upon completion of a practice -based mathematics methods course focused on proportional reasoning [D] . Hillen, Amy Fleeger 2005

机译：在完成实践之前，在完成比例推理的情况下，在完成实践之前和完成的实践前以及完成实践之前和后，审查Preservice次要数学教师的能力
6. Investigating the Associations of Constructivist Beliefs and Classroom Climate on Teachers Self-Efficacy Among Australian Secondary Mathematics Teachers [O] . Fang Guangbao, Teo Timothy 2021

机译：调查建构主义信仰和课堂气候对澳大利亚中学教师教师自我效力的协会
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Proportional Reasoning and Belief of Pre-Service Mathematics Teachers: The Use of Modified Authentic Investigation Activities (AIA) Model

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