Innovative Practice Research on Primary School Mathematics Teaching Driven by Cultural Situations—Classroom Restructuring in’s Multicultural Contexts

Mayaam 【Malaysia】

Abstract：

This paper addresses the issues of cultural fragmentation and single context in primary school mathematics teaching in Malaysia proposing a “Cultural Situation-Driven” teaching model. By developing a localized teaching case library, designing a cross-cultural chain of mathematical tasks, and constructing a dynamic system, an empirical study was conducted in three Chinese primary schools in Sabah. The results show that this model has increased students’ classroom participation by 37%, and the rate of mathematics application ability assessment has increased by 28%, effectively promoting the two-way integration of mathematical knowledge and cultural identity. The research provides replicable practice paths for the localization of mathematics education in multicultural countries.

Keywords: Cultural Situations; Primary School Mathematics; Malaysian Education; Teaching Innovation; Multicultural

1. Problem P

Malaysia’s unique multicultural background (coexistence of Malay, Chinese, Indian, and indigenous cultures) provides rich materials for mathematics education, but there are three contradictions in current teaching:

Disconnection between cultural resources and teaching

Many cases in textbooks are transplanted from the context of Western countries (such as “buying tickets the ski resort” and “Christmas shopping”), which is disconnected from local life experience. For example, many mathematical problems involve scenarios such as snow activities or Christmas markets, which not common in Malaysia’s tropical climate, resulting in students having difficulty connecting what they have learned to real life.

Unification of evaluation criteria

Over-reliance on written for evaluation, neglecting mathematical application ability in cultural situations. Traditional examination forms often focus on the mastery of formulas and calculations, while ignoring students’ ability to solve practical problems in specific contexts. For example, when assessing students’ mathematical abilities, more practical application questions based on local cultural contexts could be considered, such as calculating the distribution of materials during traditional festival celebrations analyzing transaction data in local markets.

Significant differences in student cognition

Students of non-Chinese ethnicity are at a disadvantage in math comprehension due to language and cultural barriers, lagging behind students of Chinese ethnicity. Since the official language of Malaysia is Malay, but Chinese is widely used in the education system, non-Chinese students may face challenges language, which in turn affects their understanding and mastery of mathematical concepts. In addition, different ways of thinking and learning habits from different cultural backgrounds will also affect students’ learning outcomes. example, some non-Chinese students may be more accustomed to visual learning methods, while traditional mathematics teaching methods may rely more on text descriptions and abstract thinking

2. Theoretical Foundation and Innovative Design

(a) Theoretical Framework

Based on Dewey's "Learning Doing" theory, emphasizing the acquisition of knowledge through practical operation and experience, integrating the "Life-oriented Education" thought of Ye Lan, focusing on the life experience and growth in process of education, and constructing a three-dimensional interactive model of "Culture-Mathematics-Life". This model closely integrates cultural background, mathematical knowledge, and life, forming a dynamic and mutually influential learning system. In this system, students can not only master abstract mathematical concepts but also understand their applications in real life, thus enhancing the practical and interest of learning.

A[Local Cultural Resources] --> B(Concretization of Mathematical Concepts)

C[Real-life Problems] --gt; B

B --> D[Mathematical Modeling Ability]

D --> E[Strengthening of Cultural Identity]

b) Innovative Strategies

a. Local Case Development

Fractions in Dietary Culture: Understanding 1/4, 1/8 through the layered cutting of Nyonyaueh. The colorful Nyonya Kueh, each layer representing different flavors and cultural symbols. Through layered cutting, students can intuitively understand the concept of fractions, also feeling the charm of Malaysia's diverse culture.

Geometry in Traditional Architecture: Analyzing the axial symmetry of Malay stilt houses, the surface area of Penang shop columns. The Malay stilt house, with its unique axial symmetry design, demonstrates the wisdom under the tropical climate. And the column of Penang shophouse, which not only aesthetic value but also its complex surface area calculation reflects the application of mathematics in architecture.

Calculations in Festival Economy: Cost calculation of Ramadan bazaars, distribution ofar New Year red envelopes. In the bustling Ramadan bazaar, vendors need to accurately calculate costs and profits to ensure that every delicacy can be sold at a reasonable. While in Lunar New Year, the distribution of red envelopes involves economic balance among family members, and children feel not only money but also the blessings and expectations of their elders when receive red envelopes.

b. Cross-cultural task chain design

c. Dynamic evaluation system

Adopt a "three-dimensional nine-indicator" evaluation scale：

3. Teaching Practice Case

Case: "Application of Percentages - Economic Analysis of Malaysia's Tourism"Teaching Process:

Situational Introduction

Display the data of the number of tourists in Sabah in the past three years (the proportion of Malay/Chinese/Ind tourists), and show the trend of the change of the number of tourists through charts and videos, so that students can intuitively feel the trend of the change of the number of. At the same time, play video clips of local tourist attractions to enhance students' sensory experience.

Cultural Task Group

Task 1: Calculate the impact of the difference consumption habits among different ethnic groups of tourists on the total income

Students are required to collect and analyze the consumption habits of different ethnic groups of tourists in terms of dining,, shopping, etc., use percentages to calculate the contribution rate of each ethnic group to the total income, and discuss their economic impact.

Task 2: Design aCulturally Friendly" tourism package budget (including Malay traditional massage, Indian henna experience, etc.)

Students need to list the cost of each activity in, including material costs, labor costs, etc., and calculate the total budget. At the same time, consider how to integrate local cultural characteristics into tourism projects to enhance the visitor.

Task 3: Simulate the profit distribution of a travel agency (cost 60%, tax 15%, net profit?)

Students calculate net profit based on the set income and cost, and explore how to allocate profits reasonably to ensure the sustainable development of the travel agency.

Cross-Cultural Collaboration:

M grouping (Chinese   Malay   Indian students), role-playing as a travel agency operation team

Students need to work together in groups, playing roles such as market researchers financial analysts, product designers, etc., to complete the various tasks of the travel agency operation. Through role-playing, students deepen their understanding and respect for different cultures and their cross-cultural communication skills.

Outcome Analysis:

The participation rate of non-Chinese students increased from 52% to 89%, showing that they a significant increase in interest and investment in the course content, classroom discussions are more active, and the interactive atmosphere is more heated. 73% of the groups proposed innovative schemes such as "Cost calculation of multi-language guide APP development", which not only shows the creativity of the students but also reflects their application ability in solving actual problems. Error analysis that the error rate of tax calculation has decreased by 64%, which indicates that the teaching method of cultural context has effectively reduced the understanding barrier, and the students show confidence and accuracy in dealing with complex tax issues.

4. Empirical Research Data

Conduct a controlled experiment in three Chinese primary schools in Sabah（2024.3-2024.6）：

Data Explanation: The evaluation paper adopts the SPM mathematics evaluation standard, and cultural sensitivity is through situational application questions.

5. Implementation Recommendations

Teacher Development Level

Establish a "Cultural Mathematics Workshop", develop a school case library (such as currency exchange problem in the ancient Kuching Chinese commercial port), and let students deeply understand the application of mathematics in different cultural backgrounds through actual historical events and specific data. The can invite historians and mathematics experts to teach together, providing rich multimedia resources including videos, pictures, and interactive simulations.

Interdisciplinary Collaboration (Co-compiling cultural mathematics textbooks social science teachers), combining historical, geographical, and sociological knowledge, to compile textbooks that are rich in content and illustrated with pictures and texts, so that students can understand the activities and social changes of different cultures while learning mathematics. The textbooks can include real historical stories, biographies of characters, and actual case analyses to enhance students' interest in reading and.

Optimization of Teaching Strategies

Adopt "Double Situation Introduction": First use traditional culture cases to establish perception, and then transfer to modern life scenarios. For example by explaining the trade methods of the ancient Silk Road, guide students to think about mathematical problems in modern international trade. This teaching method can help students better understand the application of mathematics in time and space backgrounds, and cultivate their cross-cultural thinking ability.

Design "Step-by-Step Tasks": Students from non-Chinese descent transition from concrete operations ( measurement) to abstract calculations, through a series of tasks from simple to deep, to help students gradually master mathematical concepts. For example, you can start with simple physical measurements, such measuring the length of classroom items with a ruler, and then gradually transition to more complex abstract calculations, such as solving geometry problems or algebraic equations. Each task should be equipped with guidance and feedback to ensure that students can transition smoothly.

Policy Support Recommendations

Incorporate "Cultural Mathematical Literacy" into the supplementary indicators of the DSP evaluation system, through regular evaluation and feedback, to ensure that students not only master basic skills in mathematics learning, but also understand and apply the importance of mathematics in different cultural backgrounds The assessment can include a variety of forms such as written tests, oral tests, and project displays to comprehensively examine students' comprehensive abilities.

Set up a cross-ethnic project fund (such as "Malaysian Mathematics Culture Week"), encourage schools and communities to hold various mathematics culture activities such as lectures, exhibitions, and competitions, to cultural exchanges and cooperation between different ethnic groups. These activities can not only improve students' interest in mathematics, but also enhance their sense of identity and inclusiveness for multiculturalism

6. Conclusion

Cultural situation-driven teaching transforms mathematics from abstract symbols into a carrier of cultural heritage. When Malay use geometry to analyze the complex curves and symmetrical structures of mosque domes, and Chinese students use statistics to study the phonetic rules and population distribution in the transmission of Fujian songs, mathematics becomes a bridge of thinking connecting multiculturalism. It is suggested that future research deepen the mining of mathematical elements in religious culture, such as exploring the relationship between patterns and algebraic equations in Islamic architecture, and the application of music rhythm and probability theory in Fujian folk songs. At the same time, explore the optimization of implementation paths under urbanrural differences, such as enhancing the interaction between mathematics and culture in urban schools using modern technology means, and enriching the mathematical learning experience in rural areas through traditional handicraft and community activities.

References：

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