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Mathematical Knowledge Construction in Computer Based Learning
(Joong Kwoen Lee) 한국수학교육학회 2001 수학교육연구 Vol.5 No.1
Using computer technology in teaching school mathematics creates new instructional environments. The emphases on the use of computer technology in the classrooms and in particular the use of computer-based exploration as a context of mathematics instruction have been reflected in the recommendation of the NCTM (Curriculum and Evaluation Standards for School Mathematics, 1989). Although the power of, using computer technology in the exploration of mathematical problems has been recognized and stressed by many educators, we do not have many research studies on mathematics in computer-based explorations. Especially research has failed to clarify how computer technology can contribute to the construction of procedural and conceptual knowledge of mathematics. Up to now most researches on procedural and conceptual knowledge in computer environments have only focused on classifying programming languages which program language has more random access and rich interrelationship characteristic in relation to conceptual knowledge in humans, and which computer language has more characteristic flavor of procedural knowledge. How computer-based explorations affect the knowledge construction of mathematics, therefore, emerges as an issue of research on teacher education program for theoretical framework. This situation leads to do research on the effectiveness of using computer explorations in pre-service teacher education in terms of procedural and conceptual knowledge construction.
Proof in Mathematics Education
( Joong Kwoen Lee ) 한국수학교육학회 2003 수학교육연구 Vol.7 No.1
This research reviewed literatures on proof in mathematics education. Several views of proof can be classified (and identified) such as psychological approach (Platonism, empiricism), structural approach (logicism, formalism, intuitionism) and social approach (ontology, axiomatic systems). All these views of proof are valuable in mathematics education society. The concept of proof can be found in the form of analytic knowledge in the sequence of constructive knowledge to analytic knowledge. Therefore, in mathematics education, the curriculum of mathematics should involve the process of cognitive knowledge development.
Theoretical Consideration of the Components of Preservice Mathematics Teacher Training
(Joong Kwoen Lee) 한국수학교육학회 2000 수학교육연구 Vol.4 No.1
This research elaborated five components for pre-service mathematics teacher training: 1) Mathematical content knowledge, 2) Pedagogical content knowledge, 3) Pedagogical reasoning, 4) System of training, and 5) Mathematics teachers` beliefs. For the effect teaching, mathematics teacher program should be reformed. The key to improvement should be concentrated on developing knowledge about effective teaching and translating it into algorithms those teachers can learn and incorporate in their planning prior to teaching. A theory of instruction must specify the ways in which a body of knowledge should be structured so that most readily grasped by the learner. A theory of instruction should specify the most effective sequences in which to present the materials to be learned.
A Study of the Reform of Mathematics Education for the Upper Secondary School in Japan
( Joong Kwoen Lee ) 한국수학교육학회 1998 수학교육연구 Vol.2 No.1
The COM curriculum provides first a core of mathematics for all students, and then offers opportunities for students to enter different streams of mathematics studies. The flexible curriculum (COM) is certainly welcome as it focuses on a transition from concrete to conceptual mathematics and on sequentially learning the power of mathematical language and symbols from simple to complex. This approach emphasizes the use of computers in mathematics education in the upper secondary grades. In Mathematics A, one unit is developed to computer operation, flow charts and programming, and computation using the computer. In mathematics B, a chapter addresses algorithms and the computer where students learn the functions of computers, as well as programs of various algorithms. Mathematics C allots a chapter for numerical computation in which approximating solutions for equations, numerical integration, mensuration by parts, and approximation of integrals. But, unfortunately, they do not have any plan for the cooperation study.
Research and Teacher Education : Including Human Factor
Lee, Joong Kwoen 한국초등수학교육학회 1997 한국초등수학교육학회지 Vol.1 No.-
교육 분야에 상당히 많은 연구가 있었고, 교육 개혁 또한 수 차례에 걸쳐 이루어졌다. 그러나 실질적으로 교육에서 진정으로 도움이 될 만한 발전을 이루지는 못했다고 말할 수 있다. 많은 교육 연구와 교육 논쟁들은 교육을 하나의 과학으로 만들려는 시도를 저지해 왔다. 그러나 대부분의 연구물들은 교육에 있어서 아주 중요한 요소인 인간 개인의 특질적 성향에 대한 요소를 빠트리고 연구를 전개해 온 것이다. 과학자들이 실험실이나 컨트롤된 환경에서 동물들에 사용했던 연구 기술이나 연구 과정 등은 교육 환경에 처한 인간에게는 효과적으로 적용될 수 없는 것이다. 따라서, 우리는 우리가 해 온 과거로부터 잘못된 것을 인지하고 교육에 있어서는 늘상 인간이라는 요소를 염두에 두고 교육이 진정으로 원하는 것이 무엇인지 - 학생 그리고 교사가 원하는 것이 무엇인지를 - 결정해서 우리의 교육 목표와 우리의 방법을 일치시키고, 미래를 바라볼 수 있어야 한다. A great amount of research and reform has teen done in education, but not much about education has been improved. Much of the research and debate has stemmed from the attempt at making education a science. But, in most of this research, a very important factor has been left out - the individual, Techniques and procedures that are used by scientists on animals in controlled situations in laboratory setting can not be used effectively on humans. Therefore, we must team from our past, decide what we want from education - from the student and the teacher, match our methods with our goals, and look towards the future, while always keeping in mind-the human factor.