Case Study 2: An Inquiry Approach to Developing Mathematical Thinking and Communication

Author(s):  
Jane Watson ◽  
Kim Beswick ◽  
Natalie Brown
Author(s):  
Chit Cheung Matthew Sung

Abstract This paper presents a case study of a Hong Kong university student’s experiences of learning English as a second language (L2) over a four-year period, with particular attention to the changes in her identities and beliefs across time and space. Drawing on a narrative inquiry approach, the study revealed that the student’s L2 identities appeared to be shaped by specific contextual conditions and agentic choices made by the student in response to different contexts, including consultation sessions with native English-speaking tutors, study abroad in the U.S., interactions with non-native English-speaking peers, and classroom interactions. It was also found that her L2 identities and beliefs not only varied over time in a complex and dynamic manner, but also appeared to be closely interconnected and interacted with each other in a reciprocal and bi-directional manner. The case study points to the need to pay more attention to the complex and dynamic interrelationship between identity and belief in L2 learning trajectories.


2019 ◽  
Vol 26 (1) ◽  
pp. 70-84 ◽  
Author(s):  
Julia Sargent ◽  
Ashley Casey

Flipped learning (FL) is a pedagogical approach that has scarcely been examined in physical education (PE). As a result, we have little information regarding what PE teachers think of the approach, how they apply it, or what perceived value it has for their teaching. This research explores the reasons which two UK-based PE teachers gave for why and how they used FL to complement their use of digital technology (DigiTech). Their experiences and views are explored through a case study/appreciative inquiry approach. Data were generated from: (a) interviews with the teachers; (b) lesson observations and field notes and (c) document analysis, all of which were analysed using grounded theory. The findings showed that each teacher used FL and DigiTech in nuanced ways to support their teaching. Despite personal differences, FL was established by both teachers as a consistent routine of practice to support the use of DigiTech. The teachers’ rationales for using FL hinged on their belief that: (a) it optimised the lesson time in which students could be physically active and (b) it supported their examination PE students. Overall, the results indicated that, when used in conjunction with DigiTech, FL has the potential to pedagogically support teachers’ teaching of PE. This is particularly pertinent given the limited time allocated in the curriculum to PE (some of which is inevitably lost in the changing rooms) and the perceived need for students to be physically active in lessons.


2017 ◽  
Vol 30 (4) ◽  
pp. 336-340 ◽  
Author(s):  
Ahtisham Younas

The relational inquiry approach enables nurses to understand and examine different nursing situations within complex healthcare contexts using the ideologies of pragmatism, critical theory, and hermeneutic phenomenology. In this paper, the author presents the application of the relational inquiry approach using Newman’s theory to analyze a case of a man who refused coronary artery bypass surgery in Pakistan. This analysis demonstrates that relational inquiry is useful in examining patients’ experiences and related healthcare needs and helps the nurses to perform appropriate actions to produce desirable outcomes.


Author(s):  
ÖZLEM ÇEZIKTÜRK ◽  
SINEM İNCE ◽  
GÜLAY YALIM ◽  
KÜBRA KARADENIZ ◽  
ZÜLAL KENAR

A rhombicosidodecahedron (an Archimedean solid with 30 square, 20 triangles, and 12 pentagon faces) was redeemed from 60 pieces by modular origami. This study used a qualitative research case study as it asked about how participants experienced this construction process of rhombicosidodecahedron. Preservice primary mathematics teachers from a mathematics and art course were participants of the study.  Additionally, one student; the first student who came out with the totally symmetric and no damaged object was interviewed for the assembly process. Mathematical thinking throughout the process was noted. Student brought her/his previous experiences as much as specific aptıtudes. Student took this project as a creative writing piece so that the process gone through similar phases as intro, progress, and artifact. Deformations and sinking occurred but student investigated the specifics of the real mathematical object did it without a fault. To deal with problems occurred in the phases; students used a creative insight as using paperclips to attach modules and assembly of half spheres. Two main processes; organizational and structural took place in the creative model formation and assembly. Suggestions and future studies are also discussed.  


2020 ◽  
Vol 12 (1) ◽  
pp. 1-14
Author(s):  
Anas Salahudin ◽  
Inne Marthyane Pratiwi ◽  
Syaeful Hidayat

This research-based on the findings that elementary school students already have mathematical critical thinking skills but have not reached the whole stage of the skills. Critical thinking skills of mathematics is essential for students because critical mathematical thinking can solve the problems and as a consideration to make decisions. This research aims to: (1) explore the critical thinking skills of mathematics of the subject of the volume of cubes and beams; (2) to determine student's difficulties in solving mathematical critical thinking skills test questions on the subject of the volume of cubes and beams. The research used a case study method of 28 students in one of the Islamic elementary schools in Bandung Regency. The data collected in the form of qualitative data obtained through tests of mathematical critical thinking skills, interviews, and document analysis. Data analysis techniques used thematic analysis by analyzing students' learning trajectory. The results showed that most students were still in the low category in the ability of critical thinking. As for the difficulties experienced by students, namely in providing simple explanations and working on problems that are not systematic. For this reason, the improving of students' mathematical critical thinking skills need further research.


Author(s):  
Phu Vu ◽  
Christopher Michael Knoell ◽  
Amy Nebesniak ◽  
Jane Strawhecker

This descriptive case aimed to examine a new model of job-embedded and on-going professional development using both blended learning and gamification approach as a delivery method. Qualitative and quantitative data collected for the study were from different sources to ensure the validity and reliability of the findings. The quantitative data findings indicated that participating in the PD first module impacted both the teachers learning of effective mathematics teaching, as well as their mathematical content knowledge. Furthermore, they planned to implement what they learned from the PD into their classroom teaching. Qualitative data findings identified three common themes emerging from the data analysis including awareness of high quality resources, students' engagement through the use of games and technology, and tasks to promote students' mathematical thinking.


2017 ◽  
Vol 1 (1) ◽  
pp. 75-87
Author(s):  
Curtis S. Chu

Abstract Due to globalisation, Asian countries have been pressed to improve their English skills to maintain international competitiveness. Though foreign educators heeded the call to meet the high demand of English learning in Taiwan, their turn-over rate remained persistently high. Assuming cultural differences might be a crucial cause, this study inquired into the cultural experience and adjustment of two foreign educators in Taiwan from a narrative inquiry approach. In addition to an extensive review of local literature, the narratives of the participants revealed the following: (1) strong motives and low/ inaccurate expectations might benefit cultural adjustment; (2) self-initiated relocation could imply more challenges than organizationally assigned relocation; (3) support and social network seem beneficial to cultural transition; (4) cultural differences were found in food, living environment, transportation/traffic, and social interactions; (5) required cultural adjustments include perseverance, trial and error, learning local language, acceptance, and contentment. Such findings not only shed light on Taiwanese culture but also bear implications for successful adjustments through the lens of foreign educators.


2019 ◽  
Vol 7 (2) ◽  
pp. 183-196
Author(s):  
A. Muafiah Nur

This research is a pre-experimental that aims to know: 1) measuring students’ ability of tenth grade SMA Negeri 1 Watampone in solving physics problem that is taught by using guided inquiry approach, 2) measuring the students’ ability in solving physics problem through guided inquiry approach achieve the level of Minimum Passing Standard. The population and all at once as sample in this research is 36 or all of student at tenth grade SMA Negeri 1 Watampone in 2016/2017 academic year. The research design used in this research is One Shot Case Study. The research instrument is the description test in solving physics problem. The result of descriptive analysis shows that the average score of students’ physics achievement after taugh by using guided inquiry approach is 108 and 12 for standard deviation. While the result of inferential analysis shows that students’ ability achieve the minimum passing standard at significance level α = 0,05.Keywords: guided approach; problem solving skills; Descriptive statistics; inferential statisticsPenelitian ini adalah penelitian pra eksprimen yang bertujuan untuk: (1) mengetahui besarnya kemampuan siswa kelas X SMA Negeri 1 Watampone dalam memecahkan masalah fisika yang diajar dengan menggunakan pendekatan inkuiri terbimbing, (2) mengetahui kemampuan siswa kelas X SMA Negeri 1 Watampone dalam memecahkan masalah fisika melalui pendekatan inkuiri terbimbing mencapai tingkat Kriteria Ketuntasan Minimal. Subjek populasi sekaligus sebagai sampel dalam penelitian ini adalah seluruh siswa kelas X SMA Negeri 1 Watampone tahun pelajaran 2016/2017 sebanyak 36 siswa. Desain Penelitian yang digunakan adalah One Shot Case Study. Instrumen penelitian yang digunakan adalah tes kemampuan memecahkan masalah fisika dalam bentuk tes uraian. Hasil analisis deskriptif menunjukkan skor rata-rata hasil belajar fisika siswa kelas X SMA Negeri 1 Watampone setelah diajar dengan pendekatan inkuiri terbimbing sebesar 108 dan standar deviasi 12. Hasil analisis inferensial menunjukkan bahwa kemampuan siswa kelas X SMA Negeri 1 Watampone dalam memecahkan masalah fisika setelah diajar dengan pendekatan inkuiri terbimbing pada pembelajaran fisika mencapai tingkat Kriteria Ketuntasan Minimal pada taraf nyata α = 0,05.Kata kunci: pendekatan ikuiri terbimbing; kemampuan memecahkan masalah; statistik deskriptif; statistik inferensial


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