Problem-Solving-Oriented Training Teaching Method to Improve Mathematical Logical Reasoning Ability on Middle School Students

Moqian Moqian(1*), Jerito Pereira(2)

(1) Guangxi Normal Univesity
(2) Universidade Nacional Timor Lorosa’e
(*) Corresponding Author

Abstract


With the deepening of the reform and development of the new curriculum education in the 21st century, the mathematics core accomplishment has been paid more and more attention by middle school teachers, among which, the logical reasoning ability is one of the important contents of the mathematics core accomplishment in middle school. The research purpose of this paper is to solve the problem of middle school students mathematical logical reasoning ability is not strong, starting from the mathematical problem itself, to explore how to cultivate students' logical reasoning thinking ability and teaching methods. This paper adopts the literature analysis method to summarize and analyze the relevant literature, uses the case analysis method to deeply analyze the relevant classic examples, and uses the statistical analysis method to analyze the students' logical reasoning literacy. Through the analysis of cases and students, this study believes that having the ability of mathematical logic reasoning can help students to solve mathematical problems, and similarly, it also promotes the development of students' mathematical logic reasoning ability in the process of solving problems. When cultivating students logical reasoning ability in problem-solving problems, we can start from the following aspects, 1. Pay attention to the study of basic knowledge, 2. Cultivate students' observation ability, 3. Analysis and prove with the help of innovative problems.

Keywords


Problem-Solving Teaching Method; Middle School; Mathematics Mathematical Logical Reasoning

Full Text:

PDF

References


Adeyemi, Sunday Bankole. (2012). “Developing Critical Thinking Skills in Students : A Mandate for Higher Education in Nigeria.” 1(2):155–61. doi: 10.12973/eu-jer.1.2.155.

Atit, Kinnari, David H. Uttal, and Mike Stieff. (2020). “Situating Space : Using a Discipline-Focused Lens to Examine Spatial Thinking Skills.”

Ayal, Carolina S., and Yaya S. Kusuma. (2016). “The Enhancement of Mathematical Reasoning Ability of Junior High School Students by Applying Mind Mapping Strategy.” 7(25):50–58.

Ayalon, Michal. (2019). “Exploring Changes in Mathematics Teachers ’ Envisioning of Potential Argumentation Situations in the Classroom.” Teaching and Teacher Education 85:190–203. doi: 10.1016/j.tate.2019.06.019.

Bass, Hyman. (2020). “Making Mathematics Reasonable in School.” (October).

Carly, M. (2010). “The Metacognitive Functioning of Middle School Students with and without Learning Disabilities During Mathematical Problem Solving.”

Cobb, Paul, and Kara Jackson. (2011). “Towards an Empirically Grounded Theory of Action for Improving the Quality of Mathematics Teaching at Scale.” 13:6–33.

Hensberry, Karina K. R., and Tim Jacobbe. (2012). “The Effects of Polya ’ s Heuristic and Diary Writing on Children ’ s Problem Solving.” 59–85. doi: 10.1007/s13394-012-0034-7.

Holyoak, Patricia W. Cheng; Keith J. (1986). “Pragmatic versus Syntactic Approaches Deductive Reasoning.” Congnitive Psychology 328:293–328.

Jiang, Zheng, Ida Ah, Chee Mok, and Hongbiao Yin. (2021). “The Relationships between Teacher Emotions and Classroom Instruction : Evidence from Senior Secondary Mathematics Teachers in China.” International Journal of Educational Research 108(November 2020):101792. doi: 10.1016/j.ijer.2021.101792.

Kay, Mary, Barbara W. Grover, Marjorie Henningsen, Mary Kay Stein, W. Grover, and Marjorie Henningsen. (2012). “Building Student Capacity for Mathematical Thinking and Reasoning : An Analysis of Mathematical Tasks Used in Reform Classrooms.” 33(2):455–88.

Ku, Kelly Y. L., and Irene T. Ho. (2010). “Metacognitive Strategies That Enhance Critical Thinking.” Metacognition Learning (October 2009):251–67. doi: 10.1007/s11409-010-9060-6.

Lee, Chien I. (2017). “An Appropriate Prompts System Based on the Polya Method for Mathematical Problem-Solving.” 8223(3):893–910. doi: 10.12973/eurasia.2017.00649a.

M, Edgar Serna, and Alexei Serna A. (2015). “Knowledge in Engineering : A View from the Logical Reasoning Knowledge in Engineering : A View from the Logical Reasoning.” International Journal of Computer Theory and Engineering (August). doi: 10.7763/IJCTE.2015.V7.980.

Maass, Katja, Malcolm Swan, and Anna-maria Aldorf. (2017). “Mathematics Teachers ’ Beliefs about Inquiry-Based Learning after a Professional Development Course – An International Study.” 5(9):1–17. doi: 10.11114/jets.v5i9.2556.

Manuel, José, Sáez López, Maria Luisa, Sevillano García, and Esteban Vazquez. (2019). “The Effect of Programming on Primary School Students ’ Mathematical and Scientific Understanding : Educational Use of MBot.” Educational Technology Research and Development 67(6):1405–25. doi: 10.1007/s11423-019-09648-5.

Matson, Erik W. (2017). “The Sympathetic Formation of Reason and the Limits of Science.” symposium: life, death, and reason The 246–52. doi: 10.1007/s12115-017-0131-z.

Missouri, Louis. (1981). “Mathematics Education Reports.” National Council of Teacher of Mathematics.

Moursund, Dave. n.d. “Computational Thinking and Math Maturity : Improving Math Education in K-8 Schools.” 1–108.

Pea, Roy D. (2007). “Cognitive Technologies for Mathematics Education.” 89–122.

Putnam, Ralph T., Hilda Borko, Ralph T. Putnam, and Hilda Borko. (2013). “Say About Learning ?” 29(1):4–15.

Reiss, Kristina M. (2020). “Eye-Tracking Methodology in Mathematics Education Research : A Systematic Literature Review.” Educational Studies in Mathematics 147–200.

Reynolds, Rebecca. (2016). “Constructivist Digital Literacy ’’ Development in Learners : A Proposed Framework.” Educational Technology Research and Development 64(4):735–62. doi: 10.1007/s11423-015-9423-4.

Reynolds, Rebecca, and Idit Harel. (2011). “Of Game Design Learning.” 267–89. doi: 10.1007/s11423-011-9191-8.

Rohendi, Dedi. (2012). “Developing E-Learning Based on Animation Content for Improving Mathematical Connection Abilities in High School Students.” 9(4):1–5.

Stylianou, Despina A. (2002). “On the Interaction of Visualization and Analysis : The Negotiation of a Visual Representation in Expert Problem Solving.” 21:303–17.

Tanudjaya, Citra Putriarum, and Michiel Doorman. (2020). “Examining Higher Order Thinking In Indonesian Lower.” 11(2):277–300.

Tibshirani, Robert, and Jerome Friedman. (2005). “Probability Theory : The Logic of Science The Fundamentals of Risk Measurement The Elements of Statistical Learning : Data Mining , Inference and Prediction.”

Weintrop, David, Elham Beheshti, Michael Horn, Kai Orton, Kemi Jona, Laura Trouille, and Uri Wilensky. (2016). “Defining Computational Thinking for Mathematics and Science Classrooms.” Journal of Science Education and Technology 25(1):127–47. doi: 10.1007/s10956-015-9581-5.

WU, H. (1999). “Basics Kills Versus Conceptual.” American Educator/American Federation Of Teachers.

Yigit, Melike. (2014). “A Review of the Literature : How Pre-Service Mathematics Teachers Develop Their Technological , Pedagogical , and Content Knowledge.” International Journal of Education in Mathematics, Science and Technology 2(1):26–35.

Yuliani, Kiki, and Sahat Saragih. (2015). “The Development of Learning Devices Based Guided Discovery Model to Improve Understanding Concept and Critical Thinking Mathematically Ability of Students at Islamic Junior High School of Medan.” 6(24):116–29.




DOI: http://dx.doi.org/10.22460/jiml.v5i3.11416

Article Metrics

Abstract view : 76 times
PDF - 53 times

Refbacks

  • There are currently no refbacks.


Copyright (c) 2022 (JIML) JOURNAL OF INNOVATIVE MATHEMATICS LEARNING

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.