SearcharxivSearch

arXiv · 2303.02096

A Practical Study on Developing Mathematical Computation Ability of Ninth-Grade Students

Abstract

Practical research was conducted to cultivate students' mathematical computation ability using literature analysis, theoretical practice, and statistical analysis methods. The research involved 171 ninth-grade students from the author's school and was divided into two experimental groups (A and B) and a control group (C). The study aimed to improve students' mathematical computation ability through algorithm analysis and comparison. The results showed that after a long period of practice, there was an improvement in students' computational ability, and most students could reach the level of high school mathematical computation ability. However, further research is needed to determine how to achieve level three of mathematical computation ability. The study found that students' computational ability levels were similar in the experimental and control groups at the beginning of the study. Through targeted discussion courses, students' computational ability levels were improved. The degree of improvement was not significantly related to students' gender but had a moderate positive correlation with the number of times students participated in related discussions. Based on the practical results, the author proposes several suggestions to help teachers improve students' mathematical computation ability. Firstly, students' interest in learning computation can be stimulated by arousing their curiosity, using typical problems to motivate their interest, and encouraging their participation. Secondly, teachers should pay more attention to selecting typical problems to help students better understand computational logic. Lastly, in addition to understanding computational logic, teachers should also focus on developing students' mathematical thinking quality, enabling students to select optimal computational strategies and improve their algorithm selection abilities.

Explore related subjects

Keep this discovery

BibTeXRIS

Yang Liu, Xuedan Li. 2023-03-02. A Practical Study on Developing Mathematical Computation Ability of Ninth-Grade Students. https://arxiv.org/abs/2303.02096

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Perspectives on the unit distance problem

This is a survey on an old open problem in combinatorics called the unit distance problem, and the field of mathematics around it, called incidence geometry. What do we know about the problem? Why is it difficult? How does it connect with other parts of math?

math.HO

A Categorical Approach to Euclidean Ratios and Proportions

A categorial approach to the non-metric geometry in Books V and VI of Euclid's \textit{Elements} is presented. Specifically, we introduce a diagrammatic syntax that can be overlaid immediately on his diagrams, thus bridging intuitive presentation with fidelity to Euclid's arguments. This syntax makes complicated definitions like V.5, and indeed the arguments throughout books V and VI, including arguments about similar figures, intuitively clear. We show in an appendix that this syntax can be used to solve a puzzle regarding ancient mathematics. Finally, we offer evidence that this approach to Euclidean diagrams is rooted in the Aristotelian tradition itself, and that a similar syntax was utilized, in antiquity, for related questions of numeric and proportions. Thus the syntax is plausibly faithful to Euclid's own thought-world, and not an outside-imposition.

math.HO

Some Early Results by Tutte Regarding the Cycle Double Cover Conjecture in 1948

OpenAI recently announced a proof of the Cycle Double Cover (CDC) Conjecture. Most media reports have characterized it as a 50-year-old open problem. In reality, according to a 1987 letter from Tutte to Fleischner, the Cycle Double Cover Problem has been open for at least 80 years. Two early results regarding the CDC conjecture were established in one of Tutte's 1949 publications.

math.HO