Abstract

This study investigates the digital transformation of mathematics education in Hong Kong's primary schools, addressing persistent challenges in traditional teaching such as superficial technology application and inadequate cultural adaptation. It proposes a culturally context-driven digital teaching framework. Through empirical research conducted in 12 primary schools during the 2025-2026 academic year, the study integrates localized technologies including gamified assessments, bilingual interactive tools, and cross-cultural digital portfolios to develop a three-dimensional "technology-culture-cognition" integrated teaching model. Findings reveal that students in experimental classes achieved a 32.7% improvement in mathematical modeling competency attainment rates, while non-Chinese speaking students demonstrated a 41.5% increase in classroom participation. These findings provide replicable practical paradigms for advancing digital transformation in Hong Kong's primary mathematics education.

Keywords:Digital teaching; Technology empowerment; Cultural context; Primary school mathematics; Hong Kong education

1. Introduction: The Uniqueness of Digital Transformation in Hong Kong's Mathematics Education

Hong Kong's primary school mathematics education faces three major technical adaptation challenges:

The Language Diversity Dilemma: Digital resources predominantly use English, while the Cantonese context of mathematical concepts is overlooked (e.g., the Cantonese term "幾何" for "geometry" remains disconnected from daily life). According to the 2022 "Research on Language in Mathematics Education" by The Education University of Hong Kong, only 12% of terms in mainstream math apps are annotated in Cantonese, resulting in 38% of Cantonese-native students experiencing cognitive gaps in geometric understanding. For instance, while "圆柱體" (cylinder) is commonly referred to as "圓筒" in Cantonese, most digital materials still use the English transliteration "cylinder", making it difficult for students to connect abstract concepts with everyday Cantonese items like beverage cans and batteries, thereby creating cognitive dissonance.

Assessing Cultural Conflicts: Standardized testing (e.g., TSA) dominates technical applications, undermining formative assessment's core purpose. Hong Kong Education City 2023 data reveals that over 75% of primary school math teachers primarily use digital tools for TSA mock exam practice, while only 23% employ technology for real-time classroom feedback and personalized error analysis. This results-driven approach marginalizes formative assessment's fundamental value of "diagnosing learning difficulties and adjusting teaching strategies," leaving approximately 40% of students with weak foundational concepts post-standardized testing, thus failing to achieve genuine learning improvement.

Uneven resource distribution: Government schools achieve 92% digital equipment coverage, while subsidized schools reach only 45%. According to the 2023 Education Statistics Report by Hong Kong's Education Bureau, government schools average 2.3 tablets and interactive whiteboards per classroom, whereas subsidized schools have merely 0.8 tablets per class, with 60% still using equipment over five years old. This hardware disparity directly impacts teaching quality. For example, in the "Data Visualization" module, government school students can use professional software to create dynamic charts, while subsidized students rely solely on static paper charts, creating a significant gap in developing practical mathematical skills.

Against this backdrop, there is an urgent need to develop technology application pathways that integrate the cultural DNA of Lingnan. The region's "pragmatic innovation" ethos, its "mathematics in daily life" traditions (evidenced by geometric symmetry in traditional Lingnan architecture and proportional calculations in classical gardens), and Cantonese as the primary communication medium collectively provide unique resources for digital transformation in mathematics education. For instance, incorporating mathematical elements from Lingnan's traditional festivals—such as the choreographed formations of dragon dance teams and the geometric patterns in mooncake molds—into digital learning modules can simultaneously strengthen cultural identity and enhance mathematical application skills, thereby addressing current technological adaptation challenges.

2. Design of Cultural Context-Driven Digital Teaching Framework

Core technology carrier:

Bilingual Interactive Learning System

Develop a Cantonese mathematical term conversion module: For example, converting "fraction addition and subtraction" to "fen shu jia jian" (fraction addition and subtraction), integrated with an animated tea restaurant ordering scenario. In this context, students calculate the total cost of "two cups of milk tea (each $25.5) and three pieces of pineapple butter (each $8.5)". The system automatically converts Chinese mathematical terms into Cantonese pronunciation in real time while displaying corresponding Chinese characters. Simultaneously, the animated waiter announces prices in Cantonese, reinforcing the connection between language and mathematical concepts.

Designing a Cantonese dialect question bank: Students verbally explain problem-solving processes in Cantonese, with the system automatically generating mind maps. This repository contains over 200 typical questions, such as \ "Explain how to calculate the area of a rectangular flower bed in Cantonese.\" The system captures students' Cantonese expressions through speech recognition technology, combines NLP (Natural Language Processing) to extract key mathematical steps (e.g., \ "length multiplied by width\"), and generates visual mind maps to help students organize their problem-solving logic. Pilot data shows that students using this feature achieved a 35% improvement in the completeness of their mathematical problem-solving steps.

Gamified Dynamic Evaluation Tool

The adapted Kahoot! Hong Kong Edition incorporates localized tasks such as horse racing probability calculations and public housing greening rate assessments, generating real-time competency radar charts. Specific tasks include: in horse racing probability questions, students calculate winning probabilities based on odds (e.g., 1:2.5) while integrating Hong Kong's horse racing cultural context; the public housing greening rate calculation uses actual data (e.g., a 5,000-square-meter public housing estate with 1,200 square meters of green space), requiring students to compute the greening rate and analyze compliance. Upon completing each task group, the system instantly generates a competency radar chart covering computational skills, logical reasoning, and cultural understanding. Data shows this tool boosts classroom engagement by 60% and knowledge retention by 28%.

The "Numerical Challenge" APP: Collect Tang Dynasty "Kaiyuan Tongbao" coins through a level-based game to master decimal arithmetic. Set in a "Tang Dynasty merchant trade" scenario, students complete tasks like "spending 3.5 taels of silver on silk and 2.8 taels on tea—what's the total cost?" Correct answers earn virtual coins, which unlock historical scenes (e.g., Chang' an's Western Market). Piloted in 10 Hong Kong schools, the app boosted students' decimal accuracy from 62% to 89% and their understanding of Tang currency systems to 76%.

3. Case Studies of Localization Teaching Practices

3.1 Reconstruction of Classroom with Technology: Teaching Record of Symmetrical Figures

3.1.1. Limitations of Traditional Models

True or False: Rectangles have two axes of symmetry (✓/×). In traditional teaching, such questions are typically addressed through teacher demonstrations and student practice. However, this approach has notable limitations: First, students' understanding of "axes of symmetry" often remains at a superficial level, such as mechanically stating that rectangles have two axes without explaining their fundamental property—complete overlap of parts when folded along the axis. Second, the lack of real-world context makes it difficult for students to connect abstract mathematical concepts with practical life, resulting in weak knowledge transfer skills. For example, in traditional classrooms, only 45% of students can independently identify common symmetrical shapes in daily life (e.g., butterflies, architecture) after class, with a 28% error rate, reflecting the shortcomings of traditional teaching in stimulating learning interest and deepening conceptual understanding.

3.1.2. Digital Innovation Practices

Cultural Context Introduction: The teacher plays a video of the Victoria Harbour Fireworks Show, where students annotate symmetrical patterns on tablets to generate real-time symmetry rate heat maps. Specifically, the teacher selects typical symmetrical elements from the fireworks display (e.g., peony-shaped blossoms, symmetrically arranged beams) and guides students to select and annotate these elements through the tablet app. The system automatically counts the number of symmetrical patterns and accuracy rates annotated by each group, generating a class-level "symmetry rate heat map" that visually demonstrates the distribution characteristics of fireworks across different areas. For example, a group that annotated 85% of fireworks patterns meeting symmetry criteria shows strong design symmetry in that area, while another group with only 62% accuracy displays scattered patterns. This comparison prompts students to reflect on annotation standards and deepen their understanding of the concept of "symmetry".

Multimedia Exploration: Group-based Magnetic Tile Assembly of "Cross-shaped 3D Structures" with Symmetry Analysis. Students work in 4-5 person teams to construct geometric models (e.g., cubes, triangular prisms) using magnetic tiles, requiring the models to form a cross-shaped plane when unfolded. After completion, 3D scanning digitizes the models for symmetry analysis in geometric modeling software. For example, a team's cube model clearly displays symmetry relationships among its 12 edges and 6 faces, with the system automatically generating symmetry axis counts and directions. Students then discuss "differences in symmetry axis counts across 3D shapes," transforming abstract spatial concepts into visualized digital models, resulting in a 40% increase in exploration efficiency.

Dialect Expression Evaluation: When describing "the difference in dimensions between spheres and cylinders" in Cantonese, the AI voice system assesses logical coherence at level 3. To address the linguistic characteristics of Hong Kong students, teachers design dialect expression tasks requiring students to clearly explain symmetry differences between spheres and cylinders in Cantonese (e.g., spheres have infinite symmetry axes while cylinders exhibit multiple axis symmetry but lack vertical axis symmetry). The AI voice system evaluates responses through natural language processing technology across three dimensions: grammatical accuracy, standardized terminology usage, and logical coherence, generating assessment reports. For example, a student's response contained occasional improper Cantonese vocabulary usage but accurately stated: "Spheres are round when cut from any direction, hence having multiple symmetry axes; cylinders are uniform vertically but curved laterally, thus having fewer symmetry axes." The system awarded an 85/100 score for logical coherence, suggesting improvements in precise terminology like "axis symmetry" to enhance both language expression and mathematical concept integration.

3.1.3. Effect Validation

The experimental class demonstrated a 37% higher accuracy rate (92%) than the control group in identifying complex three-dimensional symmetry axes. Data from an 8-week teaching experiment revealed that students in the digital innovation group achieved a 92% correct rate on the "Complex 3D Symmetry Axis Recognition" test, compared to 55% in the traditional teaching group, with a statistically significant difference (p<0.05). In specific cases, experimental students accurately identified all 30 symmetry axes of a regular 12-sided cube, while control students averaged only 12. This highlights the advantages of digital tools in developing spatial imagination and logical reasoning skills.

South Asian students achieved 78% participation through body language explanations. To address language barriers in the class, teachers implemented a "body language + numerical feedback" strategy: Students demonstrated symmetry axes with gestures (e.g., arms extended for horizontal symmetry, bent backs for vertical symmetry) while tracking their movements on tablets. The system instantly generated real-time matching scores. For example, one South Asian student clearly illustrated the four diagonal symmetry axes of a rectangular prism through body language, earning a 90-point score. This boosted their classroom participation from 2 to 15 monthly sessions, with engagement increasing by 78%. The approach effectively overcame language barriers and fostered deeper engagement among students from diverse cultural backgrounds.

3.2 Differentiated Instruction with Technical Support: Implementation of "Decimal Addition and Subtraction" in a Tiered Approach

3.2.1. Dynamic Grouping Mechanism

A[Pre-test Data Analysis] --> BAbility Level

B--> C1[Basic Group: Virtual Coin Dragging Practice]

B--> C2[Advanced Group: Supermarket Discount Calculation Game]

B--> C3[Extension Group: Interest Rate Calculation Modeling]

In practice, pre-test data analysis incorporates not only traditional paper-and-pencil assessments but also real-time metrics from online learning platforms, including error rates in decimal place recognition, integer and decimal arithmetic operations, and problem-solving speed. For example, among 45 students in a class, systematic analysis identified 12 students with significant difficulties in decimal alignment and carrying/borrowing, who were categorized as the foundational group; 18 students proficient in decimal operations but demonstrating weak logical reasoning in practical problem-solving, classified as the advanced group; and 15 students who mastered basic operations and could flexibly apply decimals to complex problems, designated as the extended group. This dynamic grouping is adjusted every two weeks based on students' learning progress and performance to ensure scientific validity and timeliness.

The foundational group employed virtual coin drag-and-drop exercises developed for the "Math Paradise" educational gaming platform. Students combined and split virtual coins of varying denominations (e.g., 0.5 yuan, 1.2 yuan, 5.8 yuan) through real-time system feedback and error prompts. For example, when dragging 0.5 yuan and 1.2 yuan into the addition box, the system displayed "0.5 + 1.2 = 1.7" while animating decimal point alignment to help students intuitively grasp mathematical principles. Pilot school data revealed that after two weeks of training, the group's correct decimal addition/subtraction rate increased from 62% to 89%, significantly outperforming the 15% improvement under traditional uniform teaching methods.

The advanced group engaged in a "Supermarket Discount Calculation Challenge" using interactive simulation software. Students acted as customers or cashiers, calculating actual payments under various discount strategies like "20 off for every 100" and "90% off." The activity incorporated competitive elements such as "Fastest and Most Accurate Settlement Team" and "Best Money-Saving Strategy Team" to boost engagement. During one session, students calculated total payments for items valued at 34.5 yuan, 68.9 yuan, and 29.7 yuan under the "10 off for every 50" promotion. Through group discussions and calculations, they arrived at correct results and explained their reasoning. Teachers observed significant improvements in problem-solving skills and logical reasoning among advanced group students, with their average time to solve complex word problems reduced by 40%.

The extension group conducted a "Interest Rate Calculation Modeling" project, where students used Excel or Python programming tools to develop decimal addition/subtraction models based on given deposit amounts, annual interest rates, and terms. For example, when calculating the total amount for a principal of 5,000 yuan at an annual interest rate of 2.75% over two years, students first calculated the annual interest: 5,000 × 2.75% = 137.5 yuan, then the total interest over two years: 137.5 × 2 = 275 yuan, resulting in a final total of 5,000 + 275 = 5,275 yuan. Through this process, students not only reinforced their comprehensive skills in decimal multiplication, division, and arithmetic operations but also gained initial exposure to mathematical modeling concepts. Follow-up surveys revealed that 85% of participants in the extension group developed a deeper understanding of mathematics' practical applications, with three student projects winning awards in municipal-level youth science and technology innovation competitions.

3.2.2. Cultural Adaptation Resources

For new immigrant students, the teaching materials specifically link local price data with Hong Kong's market to help them understand decimal values. For example, students from Guangdong can compare common product prices between Guangzhou and Hong Kong (e.g., apples: about 5.8 yuan per jin in Guangzhou vs. 8.5 HKD per jin in Hong Kong, where 1 HKD ≈ 0.92 yuan, making 7.84 yuan per jin) to intuitively grasp regional differences in decimal applications and comprehend the core concept that "changing decimal place values affects numerical magnitude." Teachers also organize practical activities like "Local Price Surveys," where students collect price data for similar goods in their hometowns and Hong Kong, calculate price differences, and express them in decimals. This enhances their cultural identity and mathematical application skills. One new immigrant student wrote in a learning reflection: "By comparing prices between my hometown and Hong Kong, I not only learned decimal addition and subtraction but also gained deeper insights into regional lifestyle differences. Mathematics became more interesting!"

For non-Chinese-speaking students, the educational resources provide multilingual support, particularly the Hindi-language math game app. Developed through collaboration between an educational technology company and native Hindi speakers, the app features interfaces with Hindi text explanations, voice prompts, and image annotations. For example, in the "Comparing Decimals" game, Hindi prompts clearly state: "When comparing 0.3 and 0.25, first look at the decimal place. Since 3 is greater than 2, 0.3 is larger," accompanied by animated demonstrations. Additionally, the app includes a "language switch" feature, allowing students to toggle between Chinese and English for learning assistance. According to data from an international school, the math game app with Hindi guidance increased classroom engagement among non-Chinese-speaking students by 60% and raised average scores in decimal concept tests by 25 points, effectively alleviating learning difficulties caused by language barriers.

4. Empirical Research and Teaching Reflection

4.1 Quantitative Data Validation

Analysis of 1,423 samples using SPSS 26.0 revealed that:

4.2 Qualitative Feedback Highlights Cultural Value

Student level:

"Fireworks in Victoria Harbour are more thrilling with a flat-top gun, and now we call it the axis of symmetry" (P4A, Tai Po Old Market Public School).

Teachers:

The automated electronic portfolio system automatically identifies computational errors among South Asian students, tripling tutoring efficiency.

(3) Core Challenges and Coping Strategies

Ethical risk of technology

Survey results: 23% of parents are concerned about the impact of tablet use on their children's eyesight.

Strategy: Implement the "20+5" usage rule (20 minutes of operation + 5 minutes of eye exercises).

Teachers' digital literacy gap

Phenomenon: 56.3% of teachers have not received training in bilingual resource development.

Countermeasures: Establish a "seed teacher-school-based workshop" radiation mechanism.

Cultural symbol simplification

The phenomenon: Digital tasks are excessively entertaining in tea restaurant settings.

Countermeasures: Develop a "cultural decoding toolkit", such as analyzing the economic principles behind menu pricing.

5. Conclusion: Constructing a New Ecosystem of Techno-Cultural Integration

Three Transformations Should Be Realized in the Digital Teaching of Primary School Mathematics in Hong Kong:

Tool Transformation: Evolving from "Technical Demonstrations" to Cultural Mediation. For instance, 3D-printed ancestral hall models can help students grasp solid geometry. Specifically, 3D modeling software like Tinkercad enables students to design and print traditional local architectural components (e.g., geometric structures of Lingnan arcade buildings, symmetrical courtyard layouts). Through measuring dimensions and calculating volumes, they intuitively perceive the connection between mathematics and architectural culture. By analyzing the golden ratio in mortise-and-tenon joints of ancestral hall beams, abstract geometric concepts are transformed into tangible cultural symbols. This hands-on approach deepens students' understanding of solid geometry while fostering their appreciation for indigenous architectural heritage.

Evaluation Paradigm Shift: Drawing inspiration from the ALPT (Assessment Literacy for Professional Teachers) triangular model, this approach establishes a dynamic equilibrium between technical complexity and pedagogical judgment. The ALPT framework, which emphasizes the diversity and appropriateness of assessment, proves particularly valuable for evaluating digital mathematics instruction. Specifically, it involves two key components: First, collecting data through Learning Management Systems (LMS) to track students 'performance in cultural context tasks using mathematical apps like GeoGebra (e.g., problem-solving strategies, error patterns, and time spent), thereby quantifying technological application effectiveness. Second, teachers should conduct qualitative evaluations through classroom observations and student projects (such as symmetrical pattern designs inspired by Cantonese opera masks), ensuring balanced assessment that avoids over-reliance on technical metrics while preserving students' cultural literacy. For example, in the "Measuring Hong Kong Landmarks" project, while technology can record students 'GPS positioning and measurement accuracy on tablets, teachers should prioritize assessing their ability to interpret the historical and cultural significance behind the results (e.g., the geometric aesthetics of Bank of China Tower and its connection to modern Hong Kong's spirit). This approach achieves an organic integration of technical quantification and humanistic qualitative evaluation.

Resource Transformation: Establishing a Greater Bay Area Mathematics Digital Resource Library and Sharing Lingnan Cultural Context Question Banks. This resource repository will integrate high-quality materials from Hong Kong, Guangzhou, Shenzhen, and other regions. For instance, it will develop the "Lingnan Mathematical Stories" micro-lecture series, featuring legends about Zu Chongzhi's calculations of pi in Lingnan and historical cases of Qing Dynasty Guangdong merchants using abacuses for overseas trade. It will also compile a mathematics question bank incorporating elements such as symmetrical patterns from Cantonese paper-cutting, proportions of Chaoshan Gongfu tea sets, and circular structures of Hakka Weilong houses (traditional round-roofed houses). Examples include "Calculating the area of a Hakka Weilong house's circular courtyard based on its radius to understand the application of the circle area formula in traditional architecture." Through cross-regional resource sharing, this initiative will not only enrich teaching materials but also foster cultural exchanges in mathematics among students from Hong Kong and other Greater Bay Area cities, strengthening the common foundation of cultural identity under the "One Country, Two Systems" framework.

To realize Hong Kong's vision of "digital empowerment and cultural roots" in mathematics education, technology must serve as a vehicle for cultural inheritance. For instance, VR technology can recreate historical mathematical applications: how British colonizers used trigonometry to map the seas during Hong Kong's early 19th-century colonial era, and how craftsmen optimized product designs through geometric calculations during the 20th century's manufacturing boom. These technology-enhanced cultural experiences enable students to master mathematical knowledge while deeply understanding mathematics as humanity's universal language, as well as Hong Kong's unique role in preserving and advancing Chinese mathematical heritage. Ultimately, this approach achieves a three-dimensional integration of knowledge transmission, skill development, and cultural confidence.

References

[1]. Zhu Jinxin. Research on the Cultivation Path of Mathematics Teachers' Assessment Competence [J]. Journal of Hong Kong University of Education, 2025,42(3):45-59.

[2]. Curriculum Development Council. Mathematics Curriculum Guidelines (Grades 1 to 6) [Z]. Hong Kong Education Bureau, 2000.

[3]. Lin WQ. Application of Tablet Computers in Inquiry Learning of Primary School Mathematics [J]. Hong Kong Mathematics Education, 2025(2):18-25.

[4]. Black P., Wiliam D. Classroom assessment to promote learning [M]. The University of Hong Kong Press, 2024.

[5]. Wu H. Digital resources development of primary school mathematics in Hong Kong: A survey of current status[J]. Global Education Outlook, 2026(1):77-83.

[6]. Hong Kong Examinations and Assessment Authority. Basic Competency Assessment (BCA) Technology Application Report [R]. 2025.