Pengajuan dan pemecahan masalah merupakan pemicu keterampilan berpikir kritis maupun berpikir kreatif yang sesuai dengan tujuan kurikulum saat ini.  Kedua konsep tersebut perlu diimplementasikan dalam pembelajaran, sehingga para guru perlu dibekali keterampilan merancang pembelajaran tersebut sekaligus memahami konsep masalah, pemecahan dan pengajuan masalah. Untuk mencapai tujuan tersebut, diperlukan program pelatihan guru untuk memantapkan pemahaman guru tentang pemahaman konten dan desain pembelajaran berbasis pengajuan dan pemecahan masalah matematika. Guru yang terlibat adalah 22 guru SMP yang ditugaskan oleh Dinas Pendidikan Kabupaten Magetan. Metode pelaksanaan terdiri dari tahap persiapan dengan melakukan koordinasi dengan mitra dan tim pelatih untuk merancang instrumen dan materi pelatihan. Tahap pelaksanaan terdiri dari kegiatan tatap muka dan kegiatan mandiri dengan diawali pemberian angket untuk analisis awal (pra-tes), pemberian materi pelatihan, praktik penyusunan soal, presentasi, dan kegiatan mandiri merancang perangkat pembelajaran.  Tahap selanjutnya evaluasi dan tindak lanjut dilakukan dengan pemberian angket akhir pelatihan (pasca-tes) dan angket refleksi kegiatan. Hasil pelatihan menunjukkan 81,8% guru mampu memahami konsep dan mendesain pembelajaran berbasis pengajuan dan pemecahan masalah. Hasil evaluasi kegiatan guru menunjukkan 95,45% guru cenderung mengatakan baik dan menyarankan kegiatan perlu ditindaklanjuti.

Students were demanded to be a creative problem solver in the career world. A mathematical learning following an inquiry-based learning approach and integrating mathematical tools was developed in this study. Students constructed original solutions about trigonometry ratio by using a clinometer and a meter as mathematical tools in allowing creative thinking. The product was designed through ADDIE methodology and applied to two classes in a Senior High School. A pre-test and post-test design measured cognitive knowledge as creative thinking variable. The result showed that this product with using mathematical tools was feasible and successful in enhancing students’ creative thinking. Inquiry-based learning was developed by involving three main components: providing students with a contextual mathematical problem-solving activity; involving student in an open-ended investigation with using a clinometer and a meter as mathematical tools to promote their creative thinking in creating original solutions; motivating students to build their own knowledge. This inquiry-based learning which had been developed significantly influenced students’ pre-knowledge scores. It could be concluded that creative thinking contributed, too. A recommendation for mathematics teachers in teaching mathematics was to involve students in problem-solving activity that facilitated them to conduct open-ended investigation whereas they could construct their own knowledge in building an original solution.

TaKeru media was a digital and manual-based learning media that aimed to improve students' understanding of the subject matter of curved side spaces, especially tubes and cones. These study aimed to develop TaKeru media as an effective learning medium to be applied as research subjects to class IX junior high school students. This study used Research and Development (R and D) methods, and ADDIE (Analysis, Design, Development, and Evaluation) development procedures. The data analysis technique used in this study was descriptive data analysis technique, which described the validity, practicality, and effectiveness of the TaKeru media using t-test. The instrumens used in this study were media validation sheets, test sheets, and student response questionnaires for eight students. The results showed that 80% of the participants showed a positive response, and student learning outcomes also increased, indicated by the value of t count = 5.635> t table = 2.365, with a significance level of 5%. Based on the increase in learning outcomes and positive responses from students, TaKeru Media as a learning media based on mathematical literacy is valid, practical, and effectively applied to teach curved side spaces (tubes and cones).