Interaction of General Reasoning Ability and Processing Strategies in Geometry Instruction

1981 ◽  
Vol 12 (1) ◽  
pp. 15-26
Author(s):  
V. J. Durapau ◽  
L. Ray Carry
Keyword(s):  
Secondary School ◽  
Achievement Test ◽  
Reasoning Ability ◽  
School Geometry ◽  
Processing Strategies ◽  
Spatial Tasks ◽  
Analytic Processing ◽  
The Relationship ◽  
Theoretical Considerations ◽  
Geometry Instruction

The relationship between certain aptitudes (general reasoning ability and gestalt and analytic strategies of processing spatial tasks) and instructional treatments in point and line symmetry in the plane was studied. A transformational treatment used the isometries of the plane, and a nontransformational treatment used the concepts of distance and perpendicularity in a static sense to teach the concept of symmetry. A 34-item achievement test was constructed to measure learning and transfer for 132 secondary school geometry students. Three significant (p<.02) aptitude × treatment interactions were found. As predicted by theoretical considerations, students with high general reasoning scores and those with high gestalt processing scores profited more from the transformational treatment. Contrary to theory, students with high analytic processing scores profited more from the transformational treatment.

The Vanx Hiele Model of Geometric Understanding and Mathematically Talented Students

1997 ◽  
Vol 21 (1) ◽  
pp. 38-53 ◽  
Author(s):  
Marguerite M. Mason
Keyword(s):  
Secondary School ◽  
Algebra I ◽  
Reasoning Ability ◽  
Successful Completion ◽  
Van Hiele ◽  
Individual Interviews ◽  
School Geometry ◽  
Talented Students ◽  
Mathematically Talented ◽  
Geometry Test

Mathematically talented students typically begin the traditional precalculus sequence by completing Algebra I in seventh grade or earlier. Consequently, they enroll in geometry early based on their successful completion of Algebra I. Little or no attention is paid to their readiness for geometry as indicated by such measures as their van Hiele level of geometric understanding. Logical reasoning ability is a characteristic often used to identify mathematically talented students, but how it applies to reasoning about geometry is unknown. This study investigated the geometric understanding and reasoning about geometry of mathematically talented students in the sixth through eighth grades prior to a formal course in geometry. This paper describes and analyzes the responses from 120 students who completed the van Hiele Geometry Test, developed by the Cognitive Development and Achievement in Secondary School Geometry Project (Usiskin, 1982), and 64 students who participated in 30–45 minute individual interviews, using an abbreviated version of Mayberry's van Hiele protocols.

scholarly journals Scientific Reasoning Ability and Academic Achievement of Secondary School Students

2020 ◽  
Vol V (I) ◽  
pp. 356-363
Author(s):  
Mushtaq Ahmad ◽  
Anees-ul- Hasnain Shah ◽  
Arslan Raheem
Keyword(s):  
Secondary School ◽  
Private Colleges ◽  
Scientific Reasoning ◽  
Pearson Correlation ◽  
Higher Order Thinking ◽  
Reasoning Ability ◽  
School Students ◽  
Public And Private ◽  
Ability Test ◽  
The Relationship

Scientific reasoning ability is considered as developing ability and is improved through knowledge acquisition. So, the study was opted to find out the relationship between the scientific reasoning ability and the achievement marks of SSC science graduates. All SSC science graduates enrolled in intermediate 1st year class in any public or private college of Punjab were the population. 1620 students from four districts were conveniently selected. The suitable test Lawson reasoning ability test was adapted with permission to make it bilingual and pilot testing brought Cronbachs α value 0.914. Test was administered to 1620 students of both public and private colleges whereas returned rate was 93.7%. Results calculated through descriptive statistics and Pearson Correlation was no significant relationship between reasoning ability test scores and the SSC marks. It was recommended that assessment agencies i.e. Board of intermediate and Secondary education may include the items of higher order thinking in assessment.

Analisis Kemampuan Penalaran Matematis Mahasiswa Calon Guru Matematika Sebagai Kajian Evaluasi

2019 ◽  
Vol 2 (2) ◽  
Author(s):  
Hanifah Nurus Sopiany
Keyword(s):  
High School Students ◽  
Secondary School ◽  
Mathematical Reasoning ◽  
Mathematics Learning ◽  
Good Reason ◽  
School Level ◽  
Real Analysis ◽  
Reasoning Ability ◽  
School Students ◽  
Secondary School Level

Penalaran matematis menggunakan pola pikir logis dalam menganalisa suatu masalah yang nanti pada akhirnya akan ditandai dengan aktivitas menyimpulkan atas masalah tersebut. Seseorang yang memiliki penalaran yang baik, tentunya akan berhati-hati dalam bertindak dan memutuskan sesuatu. Materi-materi pada kalkulus merupakan materi yang ada pada tingkat sekolah menengah yang nantinya menjadi lahan mengajar mahasiswa calon guru matematika S-1. Kemampuan penalaran yang dikaji mempengaruhi pembelajaran mahasiswa kedepannya karena berlaku pada matakuliah lanjut, contohnya pada kemampuan pembuktian akan selalu digunakan pada matakuliah persamaan diferensial, struktur aljabar, analisis  vektor, analisis real, dll. Sedangkan sebagai calon guru yang nantinya mengajar pada tingkat sekolah menengah, maka kemampuan penalaran ini menjadi salah satu capaian pembelajaran matematika bagi siswa sekolah menengah, maka oleh karena itu guru yang mengajarnya haruslah memiliki kemampuan penalaran yang baik. Analisis kesalahan sangat penting untuk melakukan evaluasi dan refleksi pada struktur soal maupun pada perlakuan dalam pembelajaran dalam upaya memperbaiki kemampuan penalarannya.   Mathematical reasoning uses a logical mindset in analyzing a problem that will eventually be marked by concluding activity on the problem. Someone who has good reason, will certainly be careful in acting and deciding something. The material content on the calculus is the material that exists at the secondary school level which will become the field of teaching the prospective master of math teacher bachelor. The reasoning ability studied influences student learning in the future as it applies to advanced courses, for example in the ability of proof will always be used in the course of differential equations, algebraic structure, vector analysis, real analysis, etc. While as a teacher candidate who will teach at the secondary school level, then this reasoning ability becomes one of the achievements of mathematics learning for high school students, therefore teachers who teach it must have good reasoning ability. Error analysis is very important to evaluate and reflect on the problem structure as well as on the treatment in learning in order to improve the reasoning ability.

The effect of formula t-shirt method for scientists taught in science lessons in secondary schools on academic success

2020 ◽  
Vol 8 (S3) ◽  
pp. 1-10
Author(s):  
Burhan Karasu ◽  
Keyword(s):  
Academic Success ◽  
Secondary School ◽  
Item Analysis ◽  
Achievement Test ◽  
Test Results ◽  
Future Studies ◽  
Learning Techniques ◽  
Post Test ◽  
Research Findings ◽  
Experimental Group

The aim of this research is to investigate whether there is a meaningful difference in the academic success, between the students who are applied the "formula t-shirt method" (experimental group) and the students who are not (in other classes of the school), in the education for the scientists wanted to be taught in the secondary school 5th, 6th and 7th grade science textbooks. Semi-experimental method was used as research method. In the 6th grade, 27 students participated in this study as experimental group (students wearing t-shirts) and 49 students in the other classes of the school that did not participate in the study. Academic achievement test including pre-test and post-test, informative observations, students’ and teacher’s interviews as well as 20 printed t-shirts were used to collect data. The pilot study of the developed achievement test was applied in another school and also the item analysis of it was performed. According to the research findings, when the experimental group’s success post-test results from the application performed, were examined in line with the interviews, significant differences were observed. It was seen that the subjects aimed to be gained with the formula t-shirt method, were adopted by the students and also increased their success. Looking at the results of the research, thanks to wearing the t-shirts prepared by using the human body on the background, and the reconciliation of the students wearing with the scientists on t-shirts, the desired learning was provided. This also contributed to such learning techniques as peer learning, active learning, social learning in terms of visuality and integrity. It is thought that these materials developed with the formula t-shirt method, will also inspire researchers for future studies in terms of their usability in other fields and subjects

Critical self-reflection: A performative act 批判的自己内省 ―パフォーマティヴな実践―

2010 ◽  
Vol 34 (4) ◽  
pp. 49
Author(s):  
Misako Tajima
Keyword(s):  
Social Sciences ◽  
Secondary School ◽  
School Teacher ◽  
Theory And Practice ◽  
English Learner ◽  
Academic Journal ◽  
Self Reflection ◽  
Academic Fields ◽  
Global Spread ◽  
The Relationship

Autobiographic and narrative research has recently grown in stature in the field of social sciences. Inspired by Asian TESOL researchers’ critical analyses of self-stories, this paper attempts to reflect upon the author’s personal history in relation to English and discuss ways in which she can position herself as both an English learner and a non-native English speaker (NNES) teacher. The self-reflection and discussion is followed by an argument for performativity, a notion drawing on poststructuralism to understand language itself and the global spread of English. This paper, itself a performative act conducted by a secondary school teacher, exemplifies the concept. The non-academic schoolteacher’s very act of writing in an academic journal aims to contribute to questioning assumptions underlying the relationship between theory and practice and to reconstituting the academic fields of applied linguistics and TESOL. 近年、自伝的かつ語りを含む研究が社会科学の分野で活発になってきている。本稿では、TESOLを専門とする、あるアジア人研究者が彼女たち自身の物語を素材として実施した批判的分析に着想を得て、英語にまつわる自己の歴史を振り返り、英語学習者としての、またNNESの英語教師としてのポジショナリティをどこに位置づけるのかという問題について議論する。さらに、この批判的自己内省を経て、言語そのもの、あるいは英語という言語の地球規模的広がりを理解するために、ポスト構造主義の概念であるパフォーマティヴィティについて検証する。なお、本稿これ自体がある高校教師によるパフォーマティヴな実践であることに言及しておきたい。研究者ではなく、一高校教師が学術雑誌に投稿することを通じ、理論と実践の関係性の背後にある前提に疑問を投げかけ、その結果、応用言語学やTESOLという学問分野の再構築に貢献できることを希望している。

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