Research on HPM Teaching Supported by Hawgent Dynamic Mathematics Software: Take “The Recognition of Circle” as an Example

History and Pedagogy of Mathematics (HPM) is one of the important research fields in mathematics education, which has received widespread attention from the mathematics education community because of its educational value. Modern mathematics education technology plays an important auxiliary role in mathematics teaching. Hawgent is a dynamic mathematics software that can present abstract mathematical knowledge visually and static mathematical knowledge dynamically. In view of this, this research takes “the recognition of circle” as an example to conduct a research on HPM teaching supported by Hawgent Dynamic Mathematics Software in three aspects: analyze the contents and uncover the history of mathematics, make the products and show the history of mathematics, design the teaching and integrate the history of Mathematics.

Information and Communication Technologies to Improve Problem Solving and Self-Efficacy: Exploring Geometry Learning Using Dynamic Mathematics Software Geogebra

Information and communication technologies can support learning of geometry through geogebra software. This study aimed to investigate the effectiveness of dynamic mathematics software geogebra towards problem solving and self-efficacy. Seventy-four university students divided to one class assigned as geogebra assisted learning and the other as using conventional learning. The results showed a significant difference of problem solving between these two groups statistically. Additionally, The results showed that there is a significant difference of self-efficacy between these two groups statistically. The results indicates that the problem solving and sef-efficacy of the university students using geogebra assisted better than using conventional learning. We can conclude that the dynamic mathematics software geogebra is effective to improve problem solving and self-efficacy

Improving the Creative Thinking Skills of the Next Generation of Mathematics Teachers Using Dynamic Mathematics Software

The case study reported in the paper investigated the effect of Project-based learning on students training to be mathematics teachers, pursuing their final projects. The final projects had as an aim of designing attractive and interactive mathematics learning material. This study used a qualitative method to assess the impact on the trainee teachers in terms of their creative design thinking. The research made use of the Hawgent dynamic mathematics software package. The study participants were all students at Guangxi Normal University, China. The students were divided into three groups, each with four or five members. The results presented show that selecting material and combining it with art using dynamic mathematics software can improve the communication skills, problem-solving and creative thinking skills, and improve the prospective teachers' self-confidence. Moreover, it was found that prospective mathematics teachers need motivation and support during their projects' lifecycle and that motivation has a positive effect on improving self-confidence.