The use of generative AI (Chat GPT) for the process of posing mathematical problems was introduced to 15 pre-service teachers (henceforth referred to as "teachers") in a re-training program aimed at teaching advanced secondary school mathematics. After solving mathematical problems, they were given an assignment to pose and refine additional problems in accordance with the curriculum requirements by giving "prompts" to the AI environment and refining them as needed. In this paper, we focus on the qualitative analysis of three key stages experienced by the teachers: writing the initial prompt to request assistance from ChatGPT to improve the problem; the response provided by ChatGPT; and the teachers' reflections on how they utilized ChatGPT's recommendations to update and refine their problem. This analysis reveals that the chat's responses and the teachers' reactions to them made several key contributions to improving mathematical problems, particularly by enhancing the clarity of the problem and increasing its challenge and complexity. Additionally, it improved mathematical precision and showed how it could be linked to real-world applications, thereby increasing student engagement. The chat also encouraged inquiry-based thinking and provided guidance for helping struggling students. Overall, these contributions significantly enhanced the quality of the mathematical problems and improved their TPACK (theoretical, pedagogical, and content knowledge).

Fifteen pre-service mathematics teachers studying in a teachers college participated in a unique program entitled "From high-tech to teaching" as part of a specialization program for teaching advanced secondary school mathematics. During the course, they solved various mathematical problems and then were asked to pose additional problems and upgrade them to meet precise educational goals by furnishing "prompts" to a generative AI environment (ChatGPT) and refining them as necessary according to predefined steps. To understand how this process contributed to the pre-service teachers' body of technological, pedagogical, and content knowledge (TPACK), they were asked to respond to a questionnaire (ten Likert-type statements; six open-ended questions).The findings indicate that posing problems in an AI environment increased their technological knowledge vis-à-vis the advantages of the environment itself and how to generate effective prompts to obtain relevant responses. They also became aware of some disadvantages. With respect to their technological-pedagogical knowledge, integrating AI at challenging pedagogical junctures (e.g., tailoring problems to students' individual needs) provided diverse pedagogical ideas. Although AI involves some challenges (e.g., all suggestions must be critically examined), overall they expressed satisfaction with the concept and indicated they would use it in the future.

In this paper we present the results of a study which was carried out in an inquiry-based teaching and learning environment with the use of ‘what if not’ methodology coupled with the integration of dynamic geometry software. The vast majority of the students reported that they perceived themselves as participants rather than spectators. Most of the prospective teachers came to the conclusion that the implementation of the findings of this study in their future teachings was a good idea and that it will raise the students’ motivation and enhance and deepen the knowledge pool of the learners.

We present here a study in which a digital-based communication platform is used for collaborative work in the learning and teaching processes. In this case, we focused on Facebook as the online social network to help motivate high-school students to become well prepared for their Bagrut (matriculation) exam in mathematics. To this end, the Center for Educational Technology (CET) established a “virtual review session” on Facebook before the exam in which 614 students and 16 teachers participated. We aimed to answer two questions: what learning and teaching opportunities can Facebook offer to prepare students for the mathematics matriculation exam? and how do students and teachers perceive learning processes via social networks? Our analysis was qualitative. The findings indicate that Facebook, for one, can offer excellent learning and teaching opportunities as a result of the interactions that evolve between the students themselves and between the students and teachers. For the students, this digital social platform helps promote peer evaluation, exposes them to a wide range of questions and solutions, and fosters the development of mathematical thinking and creativity. For the teachers, it helps expand their technological and pedagogical-mathematical knowledge.

This quantitative retrospective study examines a non-probable convenience sample of 104 in-service mathematics and science teachers with the aim to understand their changes in attitudes toward the integration and use of information and communications technology (ICT) as a result of the COVID-19 pandemic. Data included a self-report questionnaire. The results indicate an increase in teachers’ knowledge regarding the e-learning environments available at their schools. The teachers revealed that before the pandemic, they mostly used computer tools to support struggling students or carry out basic calculations. However, during, because they had to plan distance learning environments, they introduced adaptive pedagogical use of ICT tools for all their students. The findings reveal that most teachers experienced difficulties emanating from lack of preparation time, technological knowledge, and/or technical conditions, thus suggesting that policymakers must decide how to provide adequate knowledge and technical support to allow teachers to successfully integrate computerized technologies into their teaching.