scholarly journals Understanding of Inverse Proportional Reasoning in Pre-Service Teachers

2020 ◽  
Vol 10 (11) ◽  
pp. 308
Author(s):  
Ismael Cabero-Fayos ◽  
María Santágueda-Villanueva ◽  
Jose Vicente Villalobos-Antúnez ◽  
Ana Isabel Roig-Albiol
Keyword(s):  
Mathematics Education ◽  
Problem Solving ◽  
Empirical Study ◽  
Student Teachers ◽  
Proportional Reasoning ◽  
Early Age ◽  
Missing Value ◽  
Problem Solving Strategies ◽  
Inverse Proportionality

From an early age, understanding proportional reasoning is a fundamental pillar in mathematics education, and therefore, teachers should have a thorough knowledge of it. Despite its significance, there are few studies that analyse the difficulties that student teachers have in understanding proportionality, and even less so inverse proportionality. We emphasised inverse missing-value problems by analysing them according to the type of unknown and the representation used. We checked which strategies they use to solve them and related them to other generic problems of proportional reasoning. For such purposes, we used a combined quantitative and qualitative empirical study applied to how pre-service teachers solve fifteen problems. The results show that the representations used in the statements aid their understanding and help solve the problems. Similarly, it is shown here that certain problem-solving strategies complicate proportional reasoning in pre-service teachers.

News from the Net: Aunty Math's Challenges for Kids

1999 ◽  
Vol 5 (7) ◽  
pp. 420
Author(s):  
Beth Lazerick
Keyword(s):  
Mathematics Education ◽  
Problem Solving ◽  
Web Site ◽  
School Mathematics ◽  
Evaluation Standards ◽  
The Real ◽  
Problem Solving Strategies ◽  
The Web

Aunty Math, for students and their teachers, is a terrific site that emphasizes problem-solving strategies listed in the NCTM's Curriculum and Evaluation Standards for School Mathematics (1989). The site is designed for children; the layout is easy to use, and the graphics are inviting. Aunty Math's problems, called “challenges,” are set in stories about Aunty Math's nephews and niece. The real Aunty Math behind the Web site is an experienced, awardwinning teacher who is very involved in mathematics education.

scholarly journals PENGEMBANGAN MODUL PEMBELAJARAN MATEMATIKA BERBASIS MASALAH UNTUK MENINGKATKAN KEMAMPUAN PEMECAHAN MASALAH

2019 ◽  
Vol 7 (1) ◽  
pp. 19
Author(s):  
Hasyim As’ari
Keyword(s):  
Mathematics Education ◽  
Problem Solving ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Wilcoxon Test ◽  
Mathematical Problem Solving ◽  
Learning Module ◽  
Post Test ◽  
Problem Solving Strategies ◽  
Math Problems

<p>Prospective math teachers should be able to master basic skills in doing math problems. One of the skills in doing mathematics is the ability to solve math problems. However, in fact students of Mathematics Education Study Program of Pekalongan University Semester 4 as math teacher candidate is still lacking in problem solving ability. Besides iu, teaching materials that contain mathematical problem solving strategies are also not available so in learning the problem-solving ability is still lacking.</p><p>In this study developed a problem-based mathematics learning module in which contains problem-solving strategies. This research aims to: 1) acquire and describe modules that fit the needs of the 4th semester students of Mathematics Education, 2) produce mathematical problem solving modules, 3) produce appropriate problem-based math learning modules and 4) produce effective modules to improve capability mathematical problem solving on semester 4 students. This development research using the development model Thiagarajan et al. The steps undertaken in this research and development are defining, designing and developing.</p><p>Based on the result of the research, the description and design of the module according to the problems of the students of Mathematics semester 4. Meanwhile, the total aspect of all validator is 4.175. According to the validation criteria makka can be concluded that the developed learning module included in the category valid. This means that the developed learning media is valid. Meanwhile, based on the test in the afternoon class, obtained some input which is then refined to then be used in trials in the morning class students. Based on pre test and post test results, both data were analyzed using wilcoxon test yielding Z<em><sub>obs</sub></em> of -3.399. Based on the right-side test criteria, the result of the decision is that the average post test score is higher than the average pre test value. This means that the modules are developed effectively for use in Mathematics Education students semester 4.</p>

IDENTIFICATION OF PROBLEM SOLVING STRATEGIES IN MATHEATICS AMONG HIGH SCHOOL STUDENTS

2017 ◽  
Vol 4 (36) ◽  
Author(s):  
J. Navaneetha Krishnan ◽  
P. Paul Devanesan
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Sample Survey ◽  
Survey Method ◽  
Teaching Mathematics ◽  
School Students ◽  
Problem Solving Strategies ◽  
Achievement In Mathematics

The major aim of teaching Mathematics is to develop problem solving skill among the students. This article aims to find out the problem solving strategies and to test the students’ ability in using these strategies to solve problems. Using sample survey method, four hundred students were taken for this investigation. Students’ achievement in solving problems was tested for their Identification and Application of Problem Solving Strategies as a major finding, thirty one percent of the students’ achievement in mathematics is contributed by Identification and Application of Problem Solving Strategies.

scholarly journals Using process data to understand problem-solving strategies and processes for drag-and-drop items in a large-scale mathematics assessment

2021 ◽  
Vol 9 (1) ◽  
Author(s):  
Yang Jiang ◽  
Tao Gong ◽  
Luis E. Saldivia ◽  
Gabrielle Cayton-Hodges ◽  
Christopher Agard
Keyword(s):  
Problem Solving ◽  
Time Allocation ◽  
Large Scale ◽  
Solution Process ◽  
Process Data ◽  
Mathematics Assessments ◽  
Assessment Design ◽  
Eighth Grade Students ◽  
Problem Solving Strategies ◽  
Drag And Drop

AbstractIn 2017, the mathematics assessments that are part of the National Assessment of Educational Progress (NAEP) program underwent a transformation shifting the administration from paper-and-pencil formats to digitally-based assessments (DBA). This shift introduced new interactive item types that bring rich process data and tremendous opportunities to study the cognitive and behavioral processes that underlie test-takers’ performances in ways that are not otherwise possible with the response data alone. In this exploratory study, we investigated the problem-solving processes and strategies applied by the nation’s fourth and eighth graders by analyzing the process data collected during their interactions with two technology-enhanced drag-and-drop items (one item for each grade) included in the first digital operational administration of the NAEP’s mathematics assessments. Results from this research revealed how test-takers who achieved different levels of accuracy on the items engaged in various cognitive and metacognitive processes (e.g., in terms of their time allocation, answer change behaviors, and problem-solving strategies), providing insights into the common mathematical misconceptions that fourth- and eighth-grade students held and the steps where they may have struggled during their solution process. Implications of the findings for educational assessment design and limitations of this research are also discussed.

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