scholarly journals Enhancing the Skill of Geometric Prediction Using Dynamic Geometry

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 821
Author(s):  
Elisa Miragliotta ◽  
Anna E. Baccaglini-Frank
Keyword(s):  
High School ◽  
High School Student ◽  
Mathematical Reasoning ◽  
Dynamic Geometry ◽  
Dynamic Geometry Environment ◽  
Geometrical Figure ◽  
Fine Grained ◽  
Analytical Tools ◽  
Insight Into

This study concerns geometric prediction, a process of anticipation that has been identified as key in mathematical reasoning, and its possible constructive relationship with explorations within a Dynamic Geometry Environment (DGE). We frame this case study within Fischbein’s Theory of Figural Concepts and, to gain insight into a solver’s conceptual control over a geometrical figure, we introduce a set of analytical tools that include: the identification of the solver’s geometric predictions, theoretical and phenomenological evidence that s/he may seek for, and the dragging modalities s/he makes use of in the DGE. We present fine-grained analysis of data collected during a clinical interview as a high school student reasons about a geometrical task, first on paper-and-pencil, and then in a DGE. The results suggest that, indeed, the DGE exploration has the potential of strengthening the solver’s conceptual control, promoting its evolution toward theoretical control.

Women as Mature-Aged Engineering Students

1993 ◽  
Vol 2 (1) ◽  
pp. 26-30 ◽  
Author(s):  
Danya Driessen
Keyword(s):  
High School ◽  
High School Student ◽  
Female Student ◽  
Career Choices ◽  
Engineering Students ◽  
Personal Values ◽  
University Of Technology ◽  
Insight Into ◽  
Personal Case

This study, based on female engineering students at the Moorabbin College of TAFE and Swinburne University of Technology, examined the influences on mature-aged women making non-traditional career choices. It was designed to investigate how these influences and the students' personal values had changed since making career choices as a high school student. Through the use of a survey and personal case study interviews, information regarding the problems and benefits of being a mature-aged female student of a non-traditional career was gathered. An insight into the personality type of the ‘non-traditional’ career student was also gained.

scholarly journals Physical Education from the high school student voice. A case study

2016 ◽  
Vol 11 (32) ◽  
pp. 107-118
Author(s):  
Didier Fernando Gaviria Cortes ◽  
Francisco Javier Castejón Oliva
Keyword(s):  
High School ◽  
Physical Education ◽  
High School Student ◽  
Student Voice

scholarly journals Nature of metacognition in a dynamic geometry environment

2015 ◽  
Vol 3 (5) ◽  
pp. 627-646
Author(s):  
Ana Kuzle
Keyword(s):  
Problem Solving ◽  
Dynamic Geometry ◽  
Dynamic Geometry Software ◽  
Dynamic Geometry Environment ◽  
Mathematics Problem Solving ◽  
Managerial Decisions ◽  
Metacognitive Processes ◽  
Geometry Problem ◽  
Mathematics Problem

This case study examined the metacognitive processes of a preservice teacher when solving a nonroutine geometry problem in a dynamic geometry environment. The main purpose of the study was to uncover and investigate patterns of metacognitive processes and to understand what circumstances, situations, and interactions in a dynamic geometry environment promoted metacognitive behaviors. An adaptation of Schoenfeld’s (1981) model of episodes and executive decisions in mathematics problem solving, and the theory of instrumentation (Rabardel, 2001) was used to identify patterns of metacognitive processes in a dynamic geometry environment. During different phases of problem solving the participant engaged in different metacognitive behaviors whereas the dynamic geometry software supported strategies that are available and/or not available on paper and pen. The effectiveness of solution paths was dependent on the presence of managerial decisions, and well-orchestrated usage of different resources, both knowledge and technology. However, the results of the study call to question to which extent engagement in metacognitive behaviors is necessarily desirable or productive.

scholarly journals Comparison of prospective mathematics teachers’ problem posing abilities in paper-pencil test and on dynamic geometry environment in terms of creativity

2020 ◽  
Vol 9 (3) ◽  
pp. 243
Author(s):  
MEHMET FATIH ÖÇAL ◽  
TUĞRUL KAR ◽  
GÜRSEL GÜLER ◽  
ALI SABRI İPEK
Keyword(s):  
Mathematics Teachers ◽  
Prospective Teachers ◽  
Creative Thinking ◽  
Dynamic Geometry ◽  
Thinking Skills ◽  
Problem Posing ◽  
Dynamic Geometry Environment ◽  
Mathematical Concepts ◽  
Prospective Mathematics Teachers

This study aims to investigate the similarities and differences between prospective mathematics teachers’ creative thinking skills in paper-pencil test and on a Geogebra-supported environment in terms of problem-posing. This case study used purposive sampling method for determining the participants. Findings revealed that the activities carried out in the GeoGebra-supported environment were insufficient to produce creative problems, and GeoGebra’s main utility to prospective teachers was in identifying their mistakes related to mathematical concepts and discrepancies among numerical values of the problems posed. The reasons for the low achievement in posing problem were discussed: These were; (i) lack of problem-posing experience, (ii) the structure of problem-posing activity, and (iii) prospective teachers’ mathematical content knowledge.

Gaining Insights from a Case Study of High School Student Performance in Dual-Credit College Chemistry Courses

2013 ◽  
Vol 91 (1) ◽  
pp. 30-36 ◽  
Author(s):  
Jacob White ◽  
Robert Hopkins ◽  
Denise Shockley
Keyword(s):  
High School ◽  
Student Performance ◽  
High School Student ◽  
Dual Credit ◽  
College Chemistry

Implementing the Assessment Standards for School Mathematics: Assessing Justification and Proof in Geometry Classes Taught Using Dynamic Software

1998 ◽  
Vol 91 (1) ◽  
pp. 76-82
Author(s):  
Enrique Galindo
Keyword(s):  
High School ◽  
High School Student ◽  
Dynamic Geometry ◽  
Dynamic Geometry Software ◽  
School Mathematics ◽  
Computer Mouse ◽  
Assessment Standards ◽  
Dynamic Software

Consider the midpoints of all the chords that can be drawn from a given point, say, A, on a circle (see fig. 1). Can anything special be found about these midpoints? Using dynamic geometry software, students can trace the locus of these midpoints by dragging the chord AB from point B. That is, they can use the computer mouse to select and hold point 8 as it is moved around the circle. The computer displays a dynamic chord with a fixed endpoint A and traces the path of the midpoints. The small blue dots shown in figure 2 represent the midpoints of the chords generated as point B is dragged around the circle. Figure 2 suggests that these midpoints lie on a circle. Is this observation true? How can we be sure? When presented with this task, a high school student answered, “It forms … it forms a circle! The midpoints … the midpoints when you move it around form a smaUer circle inside the big circle!” When the student was asked to justify his answer, he said, “I can see it before me, and it does form a circle. I have evidence for it.”

Jewish Pupils’ Perspectives on Religious Education and the Expectations of a Religious Community

2009 ◽  
pp. 139-154
Author(s):  
Christine Müller
Keyword(s):  
High School ◽  
Religious Education ◽  
Jewish People ◽  
Religious Community ◽  
Religious Communities ◽  
Student Community ◽  
The One ◽  
Jewish Religious Education ◽  
Insight Into

This chapter presents a case study of the Jewish High School in Berlin — the only Jewish secondary school in contemporary Germany. The focus is on the re-establishment of this school in 1993 and the associated hopes of the religious community, on the one hand, and the religious self-understanding and expectations of the pupils regarding religious education, on the other hand. The chapter begins by setting out current developments in the Jewish educational system in Germany and the hopes that Jewish parents and religious communities have of it. It then gives an account of the re-establishment of the Berlin Jewish High School and its Jewish profile. Next, the chapter presents quantitative data that provide an insight into the religious self-understanding of the young Jews in the school. The analysis focuses on the similarities and differences between young Jewish people from German and Soviet backgrounds. Afterward, a qualitative analysis of the expectations and desires of the pupils in relation to their religious education is provided. Finally, the chapter discusses what, realistically, might be the outcomes of an approach to Jewish religious education that embraces a student community so diverse in religious, cultural, and social terms.

Authoring Self: GED Students Transforming Their Identities in a Composition Makerspace

2018 ◽  
Vol 67 (1) ◽  
pp. 131-146 ◽  
Author(s):  
Rachael Gruen
Keyword(s):  
High School ◽  
Problem Solving ◽  
Adult Learners ◽  
Teaching And Learning ◽  
Self Esteem ◽  
Primary Objective ◽  
High School Equivalency ◽  
Ged Students ◽  
Insight Into

In this case study, I examine the ways adult learners improve skills and practices around communication, problem-solving, motivation, self-esteem, and technology through engagement in a makerspace curriculum focused on composition. A primary objective is to provide insight into the various ways that adult education environments can incorporate innovative practices of teaching and learning to prepare students for a standardized high school equivalency test and beyond. The patterns in the data revealed that makerspaces for the focal participants predominantly supported nonacademic skill development, particularly learning from mistakes, the importance of learning from each other, and identifying as a learner to aid in one’s learning.

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