DEVELOPING THE DESIGN OF INNOVATIVE TEACHING LEARNING PROCESS OF MATHEMATICS

PREFACE

         Innovative learning is learning that is more student centered. That is, learning to better provide opportunities for students to construct knowledge on their own (self directed) and is mediated by peers (peer mediated instruction). Innovative learning based on constructivist paradigm.
         Innovative learning based constructivist paradigm to help students to internalize, reshape, or transform new information. Transformation occurs through the creation of new understanding (Gardner, 1991) which is the result of the emergence of new cognitive structures. Deep understanding occurs when the presence of new information that encourages the emergence or increase the cognitive structures that allow students to rethink their previous ideas. In a constructivist classroom setting, students are responsible for belajarannya, become autonomous thinkers, to develop an integrated concept, develop a challenging question, and found the answer on their own (Brook & Brook, 1993; Money, 1996; Savery & Duffy, 1996). Seven primary constructivist values, namely: collaboration, individual autonomy, generativity, reflectivity, active, self-relevance, and pluralism. These values ​​provide opportunities to students in reaching an understanding in depth.  Here we discuss how to develop the design of innovative learning process of mathematics teaching

CONTENTS

         Standards of competence and basic competencies and become the foundation for developing subject matter, learning activities, and indicators of achievement of competency for assessment. In designing learning and assessment activities need to consider the Standards Process and Valuation Standards. Competency Standards (SK) is the goal of learning in general. Furthermore, basic competencies (KD). These competencies form the basis of the elaboration of standards of competence. Indicators, referring to the subject matter. Rating: be the test orally, in writing, the current performance practice, the work (portfolio). Allocation of time: time needed to complete the study in each KD. Source / Teaching materials / tools: Book package, module (page number), etc..

         All of that is the formal document references learning.  Or design of innovative learning approach can be contextual learning, constructivist, realistic mathematics, cooperative learning, problem-based instruction, etc. Contextual Teaching and Learning is a concept which helps teachers learn to links between the material being taught with real-world situations and encourage students to make connections between the knowledge possessed by planning in their daily lives. Cooperative learning is a learning model that prioritizes collaboration among students to achieve learning objectives. Realistic mathematics which is intended in this case is carried out with school mathematics menemaptkan realities and experiences of students as a starting point for learning. Realistic problems are used as the source of the emergence of concepts of mathematics or formal mathematical knowledge. Problem-based learning model of instruction is based constructivist understanding that accommodate student involvement in learning and solving authentic problems (Arends et al., 2001).

         Several methods of learning that can be used to develop innovative instructional design process of teaching mathematics, among others, problem solving, discussion, inquiry, investigation, small group discussions, etc. Problem solving is the use of methods in learning activities by students trained in dealing with various problems both individuals and groups to solve their own problems and or together. Implementation of an inquiry method of teaching and learning is the way students seek and find the concept with or help from the teacher. Investigation is the process of investigating a person, and then the person is communicating the results of placement, can compare with the acquisition of others, because in an investigation can be obtained one or more outcomes. Defines the discussion method is a method of teaching the which is closely related to problem solving. This method is also commonly Referred to as group discussion and the recitation together (socialized Recitation). Small group discussion is a process That involves small groups in an informal face to face interaction with the aim of sharing experiences or information, solve problems or make-decisions.

         The teaching materials in developing innovative design of the learning process of mathematics teaching the lesson plan, student worksheet, modules, text book, etc. Basically a learning process is laid out and arranged in Such a Way, According To Certain steps in its implementation in order to Achieve the expected results. Arrangement shall be incorporated in the form of lesson plan. Student Worksheet is a sheet of paper That essentially contains information and instructions from teachers to students to work on Their Own Learning through practice an activity or work tasks and exercises related to the material being taught to Achieve the goal of teaching. Modules are designed print materials to be studied independently by study participants. The module is also called the media for self-study because it has been equipped for self-study guide. Textbook is a book that contains descriptions of materials on subjects or fields of study, arranged in a systematic and has been selected for a particular purpose, learning orientation, and student progress, to be assimilated.

         Implementation of teaching learning process are Apperception, small group discussion, Various methods, Various media, lesson plans, student worksheets, student reflexes, cognitive scheme, conclusion by the students, and assessment.

Conclusion

            Development of innovative models of learning mathematics through action research to overcome the difficulties of service of teachers toward their students have a positive impact, but in actual experience obstacles both technical, academic, and socio-cultural. Teachers' efforts in meeting the academic demands of a wide range of students, encouraging students to improve achievement of low achievers, encouraging students to learn actively, and encourage students to learn through collaboration, to more innovative teaching can be done by: Developing Student Worksheet, establishment of study groups, development of methods class discussions / group, development of teaching aids and educational media.

In developing methods of learning, the teacher suggested:

1.      Planning a mathematics learning environment

2.      Plan mathematical activities

3.      Develop the role of teacher

4.      Arrange a time to whom and when doing math with / not with students

5.      Observe the activities of students

6.      Evaluate yourself

7.      Assess understanding, processes, skills, facts and results

8.      assess the results and monitor student progress

9.      Collaboration with other teachers or MGMP