Kamis, 22 Maret 2012

The Design of Innovative Teaching Learning Process of Mathematics By : Eka Sulistyawati (09301244002)



A.       Introduction
Innovative teaching and learning process begins with the demands of the curriculum Education Unit. According to the National Education Standards Agency (BSNP) curriculum is a set of plans and the setting of objectives, contents and teaching materials and methods used to guide the implementation of learning activities to achieve specific educational goals. This includes the specific goal of national education goals as well as compliance with particularity, the condition and potential areas, the education unit and learners. While KTSP is the operational curriculum developed by and implemented in each educational unit. In the same page, structured curriculum that gives students’s opportunity to learn and build self-discovery through active, creative, effective and fun learning. From above, it appears that the curriculum arranged in order to provide opportunities for students and make learning an active, creative and fun.
B.    Content
      Based on KTSP, standards of competence and basic competence has been determined by the government (policy makers, determining competence), while the school (education unit) required to create and describe longer the learning objectives, indicators (using the operation verb that can be measured, thus simplifying teacher to determine the students’s ability achieving learning objective and indicators), selecting teaching materials, develop questions that reflect the instrument achievement competency indicators, and develop customized learning time allocation to the education calendar. Based on Standards Content of Curriculum at each educational unit organized by the types and levels of education in each following calendar year. Calendar of Education is setting the time for the learning activities of students during the school year that includes the beginning of the school year, effective weeks learning, effective learning time and holidays.
1)     Approach / Design
As teachers or prospective teachers, we should be able to organize the learning process of innovative, effective, creative and capable of involving students in each set of learning activities. At times close to a variety of design of learning such as constructivist learning, realistic mathematics, problem based learning, cooperative learning, contextual learning, and so on. Translation of each learning design are as follows:
a.       Contextual Learning
According to the briefing series of 2010 micro learning, contextual learning is a process of holistic education, which aims to help students understand the meaning of the subject matter studied by linking the material being studied in the context of everyday life (personal context, social, and cultural) so that students have the knowledge / skills that can be flexibly applied (transferred) from one problem / context to the issues / other context.
b.      Constructivism
According to Ali Mahmudi in Constructivism, Constructivism is an educational theory that place emphasis on the learner, teacher as a facilitator here, based on the idea that all knowledge is constructed based on previous experience.
c.       Realistic Mathematics
Realistic Mathematics learning is one of learning oriented mathematics
everyday experiences and apply mathematics in everyday life.


Formal Mathematics
 


Formal Model of Mathematics
 


Concrete Model of Mathematics
 



1)     Method
The purpose of presenting a variety of teaching methods and their application in learning is for teachers and prospective teachers have a broad knowledge of teaching methods and have the skills to apply them in learning. Knowing the advantages and disadvantages of each method of learning is very important that a teacher or prospective teacher can apply the right method for learning material, in the achievement of student competencies. There are several kinds of teaching methods, including:
a.       Lecture methods
b.      Discussion method
c.       Inquiry method
d.      Investigation method
e.       Practical work method
f.        Indivudual method
g.       Small group discussion method
h.      Problem solving method
i.         Expository method
j.         Demonstration method
k.       Game method
l.         Study tour method
m.    And so on.
2)     Teaching Materials
a.       Lesson plan
A teacher or prospective teacher is not only obliged to carry out teaching and learning activities, but also be prepared starting from the learning planning, implementation of learning, and evaluation of learning and reporting. In the preparatory phase of learning the teachers / prospective teachers prepare for administrative completeness / instruments such as syllabi, lesson plans, worksheets and many other instruments. Learning stats are always tailored to the curriculum in force at the time. For the current school is used based competency curriculum. According to the Guidelines for Developing Curriculum by BSNP, syllabi is on a learning plan and / or groups of subjects / themes that include specific of standards competence, basic competence, subject matter / learning, learning activities, indicators of achievement of competencies for assessment, allocation of time, and resources to learn. Syllabi prepared by the teacher independently or in groups of school or through a group of Congress Subject Teachers (MGMP) or Teacher Activity Center (PKG) and the Department of Education.
b.      Students worksheet
Studets worksheet is a worksheet for students both in and kokurikuler and intrakurikuler activities to facilitate understanding of subject matter learned (Azhar, 1993: 78). While according to (http://ahliswiwite.wordpress.com). Student worksheet (LKS) is one of the tools of learning mathematics is quite important and is expected to help learners discover and develop mathematical concepts. The Benefits of Student Worksheet. According to the team of instructors PKG in Sudiati (2003: 11-12), the purpose of Student Worksheet (BLM), among others:
a.       As an alternative to direct teacher instruction or introducing a particular activity.
b.      It can speed up the process of learning and teaching time-saving.
c.       Can optimize limited teaching tool because students can use tools interchangeably.
c.       Teaching aids
A teaching aid is something that is use by teacher in her class to help students improve reading and other skills, reinforce a skill, or to make learning fun. In addition to using various methods, teachers should also be able to use various media and teaching aids (props). The aims of using media and teaching aids (props) are to help instill the concept to students about topic being discussed. Typically teachers use props to a topic that is less real (tangible) or rarely encountered in everyday life of students. With the props and the media the concept of learning accepted by the students clearly.
The purpose of using Various media / teaching aids are:
a.    Provide variety of activities
b.    Provide variety of learning methods
c.     Provide variety of contexts & learning atmosphere
d.      Modul
e.       Handout
f.        Text book

3)     IMPLEMENTATION : Teaching learning process
a.       Developing and implementing apperception
Apperception activities are teacher activities to facilitate students learning topics to be discussed it is to recall the previous topics related to the topics to be discussed. While apperception (student preparation) can be done with the preparation of physical, cognitive, social, emotional and other readiness. For recalls previous material, the teacher can prepare a few simple short questions or problems that can review students' memories. After the students can recall previous material associated with the material to be covered, it have meaning that students are ready to follow the learning with a new topic.
b.      Developing and implementing various interaction
There are three kinds of interactions are:
1.      Whole class interaction
2.      Discuss interaction
3.      Individual interaction
c.       Developing and implementing small group discussion
       Of the kinds of interactions above, one type of interaction is the discussion. To make the discussion, the teacher usually form small groups of a number of students in the classroom. The teacher can divide students into one class in small groups based on ability, gender, skill, spirit, or teachers can also form heterogeneous groups means the characteristic membership of each group consists of a wide range of students, making it more evenly. Usually in this discussion, will distinguish between students who dominate the discussion, the mediocre, or that do not contribute anything in the continuity of discussion. This is one of the purposes of discussion, a student who can lead the way to dominate discussion, and to help other students / friends to spur active part in discussions, so that all members participate actively in discussions. The goal of this group are:
1.    Provide an opportunity for students to take the initiative.
2.    To decrase understanding of the material
3.    Provide or opportunity for the student to think and determine methods of different methods
Obstacle to its implementation are
1.    Understanding teachers and meaning of discussion method is Relatively less.
2.    Requires additional time for the presentation of the material
3.    Most dominated by a brilliant student.
d.      Developing and Implementing Reflection / Presentation
After doing discussion or teaching learning process, it would better if teacher give chance to the student so they can make reflection or presentation. If the discussion is done by a group, usually a presentation made ​​by representatives of each group. In other words each group determines one representative to present the results of their discussions. This is done so that students are trained to speak in front of his friends, and practice put forward the idea of ​​a systematic sequence and can be understood by listeners There are some activities that teacher can do, such:
1.    Make a plan what will teacher do in the class, so student can achieve the aim or conclusion of the teaching learning process.
2.    Teacher still involve in small group during discussion, so the teacher know what student’s need.
3.    After discussion over, the teacher let some student to present the result of the discussion and also give the other student chance to ask question to presenter.
4.    After presentation over, teacher give review about student present and also give chance to the student to make conclusion.
e.       Developing and implementing students assessment
In addition to the preparation of learning and implementation of learning, teachers must also make an assessment. Stufflebeam (Pagehyasa; 2009 ) express that: educational evaluation is the process of delineating, obtaining, and Providing useful, information for Judging an alternative decision. Stufflebeam from view, we can see that the essence of the evaluation of providing information for decision making interests. In education, we can evaluate the new curriculum, an education policy, specific learning resources, teacher or work ethic. Assessment (assessment) is the application of a variety of ways and use various assessment tools to obtain information about the extent to which learners learning outcomes or achievement of competence (the ability of the circuit) learners. Assessment of answering questions about how well the results or learning achievement assessment didik.Hasil a participant can be either the value of qualitative (narrative statement in words) and the value of quantitative (numeric). Measurements related to the process of finding or determination of the quantitative value. Assessment can be done by: daily test, midterm test, final examination, school examination, national examination, open-ended questions, short investigations, multiple-choice questions, essay test, oral test, practice test, and so on.  
Based on copies of standard attachment assessment Assessment Principles Assessment of learning outcomes of students in basic education and medium based on the following principles:
1.        valid, meaning the assessment was based on data that reflects ability measured.
a.       objective, it means that the assessment is based on clear procedures and criteria, not influenced rater subjectivity.
2.        fair, meaning the assessment is not beneficial or detrimental to learners because of special needs as well as differences in religious background, ethnicity, culture, customs, socioeconomic status, and gender.
3.        integrated, meaningful assessments by educators is one of the components inseparable from the learning activities.
4.        open, which means the assessment procedures, assessment criteria, and basic decision-making can be seen by interested parties.
5.        comprehensive and sustainable, meaningful assessments by educators covers all aspects of competency by using different appropriate assessment techniques, to monitor developments ability learners.
6.        systematic, meaningful assessments carried out in a planned and phased by following the standard steps.
7.        Base on criteria, meaning the assessment is based on the size of the achievement competency set.
8.        accountable, meaningful assessments can be accounted for, both in terms of techniques, procedures, or its outcome.
4)     Reflection
According to I Made Sukarna in Lesson Study sebagai Upaya Peningkatan Kinerja Pembelajaran yang Dilakukan Guru, the lesson Study stage (SEE)
a.       Headmaster of School (the facilitator, guide discussion), teachers model, and the expert sitting in front.
b.      The facilitator introduces participants to reflect
c.       The teacher models comment on the learning process that has been done.
d.      Representatives teachers who are members of the group during the development of lesson plans provide additional comments
e.       Each observer filed observations and opinions
f.        Experts summarize or conclude the discussion
g.       Lesson Study announcement next (next cycle).
C.      Conclusion
To make active, innovative, creative teaching learning process, teacher or prospective teacher must to do :
a.         Choose the design of teaching learning that can facilited students to understanding teaching material and feel fun in their learning activities.
b.         Choose variety of teching method
c.          Choose variety teaching material not only from textbook, but also from other teaching learning resources.
d.         Make implementation of teaching learning process by developing some aspects such as developing students worksheet, teaching aids, interaction, and so on.
e.         Make a reflection to determine what should the teachers do in next siclus.
D.     Reference
Anonim. Pembelajaran Kontekstual Contextual Teaching & Learning (CTL) Seri Pembekalan Mikro 2010. 2010. Universitas Negeri Yogyakarta.
Panduan Penyusunan KTSP.2006.BSNP:Jakarta
I Made Sukarna. Lesson Study Sebagai Upaya Peningkatan Kinerja Pembelajaran yang Dilakukan Guru. 2010. Jurusan Pendidikan Kimia FMIPA UNY
Ali Mahmudi. Constructivism (Presentation).

Selasa, 06 Maret 2012

How To be Innovative Teacher


By Eka Sulistyawati (09301244002)
A.    Preface
Often we have the of good, bad, insufficient, lacking, far, near, home, campus criteria. Unconsciously we have a limiting criterion, but if asked we do not know the location, position, shape of the barrier. Just like our earth, the equator of the earth known as the northern border and south is really just an imaginary line just created and agreed upon by humans.
The illustration above can be attributed to learning illustration. Learning that is traditional and innovative learning. If asked, not everyone will admit that he is applying traditional learning methods or innovative. However, we can know its characteristics. Here are discussed the characteristics of traditional learning and the characteristics of innovative learning.
B.     Contents
If we compare two things, we can use limit criteria based on religion, phylosophy, paradigm, theories, design, schema, models, programs, activities, and example. for example, we can not see God (Allah SWT) but we can learn and know the nature divine through the creations, favors, and gift. In traditional learning, students are like the empty bottle ready filled with water (knowledge) from the faucet (the teacher), but the bottles have different sizes of holes. Teachers just do a transfer of knowledge without considering the initial conditions (mental, psikhis, cognitive) students. So that learning is thus, less wear when applied to all students with diverse abilities.
Unlike the innovative learning, teachers act as facilitators in charge of facilitating the students to grow and develop according to his ability.
(Sources: Marsigit. , 2004. Inovasi Pembelajaran untuk Meningkatkan Gairah Siswa dalam Belajar" According Marsigit, for students feels  excited and motivated in their learning, teachers need to realize the paradigm as follows:
a.       Centralized  teacher to students Centralized
To be uncentralized teacher learning, teacher must make many course interaction, that is interaction between teacher and students, students and student, and teacher, students and learning environment. And the other teacher must applied teching method that is except ekspositori method and lecture methode, it is by applied such as :
a)    Demonstration method
b)    Discuss method
c)    Ask-question method
d)   Game method
e)    Study tour method
f)     Discovery method
g)    Problem solving method, and etc
b.      Transmission of knowledge to cognition development
guru just not as transfer knowledge but also teacher must be fasilitator, motivator for their students. One characteristic of innovation teacher is aware that their students are population with various kognitive. If a teacher has been aware it, teacher will choose learning method that can be applied to solve its variety, it is suggest that teacher must do individual approach.
c.       authoritarian to democratic
Mr Marsigit said that autoritarian people are people that can not explain. An autoritarian teacher not give students opportunity to explain their argue. Indonesia are democratic countrt, that every people give opportunity to explain their argue, like in UUD Republik Indonesia, it can applied to teaching learning process in class.
d.      teacher initiativeto students initiative
A way that is can make students initiative in their teaching learning activity, teacher can give open-ended problem, from this problem will get variety question, variety process, and logic variety, it will develope their thinking learning process. Cooperative teaching can applied in class, that is students gives their opportunity to determine topic that will be studied.
e.       passive student to active student
To be active students, teacher must give students opportunity to actived in teaching learning process that show by teachers. To get it, teacher must have initiative to make happyly teaching learning, actived students, and use teaching aids.
f.       Obligation  to need awareness
Learning is just not obligation, but begin from awareness that we need learning.
g.      result-oriented to results-oriented process
Any teacher are consider the result without success process. Example : teacher just read right students answers, seldom read how to get right answer.
h.      Quickly and in a hurry to wait patiently
Students have variety ability to receive content that its show by teacher. In order to teacher fill students awareness, teachers need to do repeating in giving material learning for slowly students, but for middle and faster students are given next task.
i.        step infront of  students lower ability.
j.        class service to individual service
k.      Expository lecture to discussion, the variation method
l.        Neutral/Pure mathematics to School mathematics
m.    memory, abstract concrete to comprehension, application
n.      external motivation to internal motivation
o.      very formal to semi informal
p.      Sentralistic to autonomy
q.      Highly structured to flexible
r.        teacher to educators, fasilitatot, dynamisator
s.       dominating role of the teacher's role to serve role
C.     Reference
Marsigit. , 2004. Inovasi Pembelajaran untuk Meningkatkan Gairah Siswa dalam Belajar

Selasa, 28 Februari 2012

How To be a Good Mathematics Teacher By : Eka Sulistyawati (09301244002)

A.     Introduction
At the beginning of the course, argued that the interaction between the members is important. Just as the told of Mr  Marsigit, conferences is important held where necessary international conferences. Some time ago he had followed a series of international conferences on Japan . The seminar was attended by experts from Japan to discuss Developing Teaching Materials in Teaching Learning Process in Mathematics Problem Solving Diseaster, among which calculates the speed of the tsunami and calculate the speed of the water. In different occasions, Mr. Marsigit visited Tsukuba Primary School to observe the lesson study there.  From there known that teaching mathematics requires a lot of things that must be considered. On this occasion will be discussed about how to be a good mathematics teacher.
B.     The Nature of Learning EveryFundamental of Teaching Mathematics
The things that affect that affect the process of learning mathematics are:
a.      Interaction
Conducive interaction is  not only the interaction between teachers and students only, but also the interaction between students with students, teachers and students, as well as the interaction of students, teachers and learning environment.
With the existence of such interactions, it is expected the mathematics learning  is not centered on the teacher, but it involves a student and learning environment.
There are three Kinds of interactions are:
a)     Whole class interaction
The whole-class interaction is the only part of this framework the which seemed relevant to the focus of the present study. The Difficulties of studying Airways in the which a large group of students construct knowledge are well Might Recognized (Thérèse Dooley: 2007).
b)     Discuss interaction
In discussions, students are usually formed into small groups. Then each group directed to discuss the matter / learning different topics or They can be each group Discussed the same topic but assessed through different views.
Discuss with the interaction of students used as someone WHO Learners are active Able to express opinions in front of others, students learn to respect opinions of others, students can learn independently (concept planting should not be guided learning teacher (traditional method). While the position of teacher is not merely accompany / see the discussion of students, but teachers directing / guiding students, both corporately and individually.
c)      Individual interaction
The example of individual student interaction are also can ask a question individually to the teacher out of the class, students complete assignments individually.
Determination of the type of interaction is related to the learning methods used. For example discussion with the student directed learning methods for using discuss interaction, with Expository teaching methods directed students to Interact in large groups (classes).
b.     Awareness of time
Learning mathematics are always need of innovation, so there are 3 times the awareness that we must have is the past, present, and future. From the past we can learn from the learning activities we have done so now and in the future we can design better learning activities, that is learning by doing innovation.
c.      Educational Facilities
Learning facilities are instrumental teaching and learning activities. Learning facilities including the facilities and places of learning, learning resources (books, internet, libraries, laboratories, etc.).
d.     Teaching Media
In Elegi Permintaan Si Murid Cerdas,  said that so if  you have the props, then let me be able to use it and do not you just put in front of  the class. The purpose of developing and implementing Various media / teaching aids are:
• To Provide variety of activity.
• To Provide variety of learning methods.
• To Provide variety of contexts and learning atmosphere.
Then the obstacles of developing and implementing Various media / teaching aids are:
• Wasting a lot of time.
• Require creativity and skill of teacher.
• Require more cost.
• Require a commitment of the school.
A teaching aid is something a classroom teacher uses in her class to help students improv and other reading skills, reinforce a skill, or to the make learning fun. There some examples of teaching aid: handouts, flipcharts, posters, diagrams, tables, or a graph, cubes, pattern blocks, plastic money, die, coin, videos, DVDs and audio tapes, etc.
e.      Teaching Method
The purpose of presenting a variety of teaching methods and Their Application in learning is for teachers and prospective teachers have a broad knowledge of teaching methods and have the skills to apply them in learning. Knowing the advantages and Disadvantages of each method of learning is Very Important That a teacher or prospective teacher can apply the right method for learning material, in the achievement of student competencies. There are Several Kinds of teaching methods, Including:
a.       Lecture Methods
Lecture method is a method of using oral delivery to a number of listeners in the delivery of content. Listeners can perform recording / summarizing information provided by the speaker. The characteristics of this method is to use one-way communication, that is communication from speaker to listener. When applied in learning, this method uses the principle of teachers as the only source of learning of the charge transfer / giving knowledge to students without student involvement (student as passive Learners). In Addition this method is also more rote respect in understanding the material (rote learning) it is this the which Causes no sense (meaning) to the student (ET Ruseffendi, 1980:168). Pros and cons Arise Concerning the application of this method. But the actual lecture method Remains to be done if for (ETRuseffendi, 1980: 170):
a) The Aims is to Provide information
b) The material has not been Presented found in other sources
c) The material has been Presented adjusted and planned in a special way According to the ability of the WHO group will receive it.
d) The material interesting or made interesting.
b.   Expository method
The Expository Difference method with lecture method is the dominance of many teachers in the Expository method reduced / not too dominant. Teachers do not keep talking, whether the student understands or not, but the teacher Gives information only to Certain parts only. After the teacher Gives information to students by lecturing, planting concepts and demonstrate something, the teacher Gives a few quick questions or a simple problem That AIMS to check and determine the level of student understanding in capturing the learning topics That have been described by teachers. According to some studies and beliefs of teaching and learning theorists Expository way this is a great way to teach the most effective and efficient (FH Bell, ET Wm.C.Brown in Ruseffenddi, 1980: 172).
c.     Discussion Method
In the Expository method and lecture method students act as teachers listeners the information provided by teacher, or it can be said of communication used is one-way communication (Between teachers and students). This is the past time of model how to teach. At the present time has been Widely available source of knowledge to be gained by the students, so students have a reference and guidance on topics That will be delivered teacher. So the teacher is Able to apply the discussion method is a communication method uses a lot of That direction. In the method of discussion on the other hand led to at least some element of learning (thinking concepts, attitudes) presumably arises from the group Itself, not from the teacher (Ausubel and Robinson, in Ruseffendi ET: 1980: 184). In the discussion the students are required to Participate actively, that is with the courage to express his opinion in front of friends and teachers, students can accustomed to think critically, learn to respect the opinions of others, and develop knowledge through sharing with friends with a group, different groups or with the help of teachers (teacher helps the implementation of discussion).
d.    Demonstration Method
Demonstration method is teacher-centered methods. Only students more INVOLVED in the learning process. In this case the teacher show / demonstrate ability to teach. For example demonstrates the reduction of the formula, the evidence of the formula, the idea of ​​problem solving (problem solving), etc ..
e.    Game Method
Game method is defined as the methods teachers use to deliver the learning materials through a variety of games. Use this method is usually intended to the make students more interested and enthusiastic in participating in every stage of learning. Teachers should be Able to choose all Kinds / models of games That can stimulate students to easily learn and understand the topic of learning. Examples of the use of this method is when teachers teach the concept of Addition and subtraction using snake ladder game. Namely the concept of Addition of the tower is described as the road advances, while the withdrawal of the tower is described as the concept of reduction.
f.      Study Tour methods
Field trip (study tour) is an activity is usually interpreted as That outing (do not do scientific Things). Study tour learning methods is a method performed by the teacher to invite students go directly to the field (the streets while learning).  To apply this method should take Several teacher Including steps, preparation. Preparations include the general purpose, preparation, preparation of issues to be studied / Examined, determining the right place, using Various instruments (due to the activities conducted classes), divide large groups into smaller groups, determine the Appropriate time.

g.    Discovery Method
Discovery method is a method of learning in the which the invention is not construed as a genuine discovery, Because what he found was already found someone. In this method the teacher does not merely Provide knowledge to students, but teachers Could lead to the invention provides the steps That must be students, for students to learn independently and use critical thinking, rigorous and innovative. In this method is very Necessary to students a worksheet containing measures or stimulus (the idea of ​​teachers) so students can solve That math problems or to discover something new in the scheme thinking. Having students work in groups is another way a teacher can direct a lesson.
h.    Collaborating method 
Collaborating allows students to talk with each other and listen to all points of view in the discussion. It helps students think in a less personally biased way. When this lesson plan is Carried out, the teacher may be Trying to assess the lesson by looking at the student's: ability to work as a team, leadership skills, presentation or Abilities. It is one of the direct instructional methods. Collaborating (kinesthetic) That is great in it allows to Participate actively in the learning process.
i.      E-learning 
Teaching learning of mathematics can be done via the internet method  like posting articles or task in your blog, sent to teacher by e-mail task, study by facebook, tweeter, or the other social network. We can also search so many reference books or from internet. Now, if teacher can not teach the student face to face, he / she can give some material via his / her blog or website.
f.         Psylogical Aspects
Marsigit in Mathematics Syllabus Guidelines for Development of Special Competency-Based High School Students (SMU) / State Madrasah Aliyah (MAN) said the student will learn mathematics  if they have the motivation. With motivation, students have the awareness and curiosity the topic that will be studied.

g.      Lesson Plan and Syllabi
According to the Guidelines for Developing Curriculum by BSNP, syllabi is on a learning plan and / or groups of subjects / themes That include specific standards of competence, basic competence, subject matter / learning, learning activities, indicators of achievement of competencies for assessment, allocation of time, and resources to learn.
h.     Student Worksheet
Student worksheet (LKS) is one of the tools of learning mathematics is quite Important and is expected to help Learners discover and develop mathematical concepts. The Benefits of Student Worksheet (LKS) . According to (Marsigit;2002;Persoalan Pembelajaran). Manfaat pengembangan alat peraga dan media pendidikan :
a.         memberikan variasi kegiatan
b.        memberikan variasi metode pembelajaran
c.         memberikan variasi konteks dan suasana pembelajaran
d.        memperperjelas pemahaman konsep
Hambatan atau kendala pengembangan alat peraga dan media
Pendidikan :
a.       alat peraga tidak terlalu relevan untuk beberapa materi pembelajaran matematika di SMU.
b.      penggunaan alat peraga menyita bayak waktu
c.       memerlukan kerampilan dan kreativitas guru untuk mengembangkan alat peraga dan media pendidikan
d.      memerlukan tambahan biaya untuk alat peraga dan biaya yang tinggi untuk pengembangan alat peraga
e.       memerlukan komitmen yang tinggi bagi sekolah
f.        belum sesuai dengan paradigma pembelajaran yang berlaku

i.         Assessment
Assessment (assessment) is the application of a variety of Airways and use Various assessment tools to Obtain information about the extent to the which Learners learning outcomes or achievement of competence (the ability of the circuit) Learners.
j.        Teaching Learning Resources
Source of learning not only books, but it may be environmental conditions and facts which occurred in life around. For example in the topic of reading data in the form of bar charts and line, students are invited to study visits to offices / agencies that have data in the form of line diagrams.
k.     Technology
In addition to books, other learning resources is the internet, blogs, email, electronic mail and other things that take advantage of technology. A teacher must utilize and keep up with technology in order to menagadakan innovative learning activities and develop.
C.      Reference
Marsigit. 2003. Pedoman Khusus Pengembangan Silabus Matematika Berbasis Kompetensi Siswa Sekolah Menengah Umum (SMU)/ Madrasah Aliyah Negeri (MAN).

Marsigit. 2011. Elegi Permintaan Si Murid Cerdas. Accesed by http://powermathematics.blogspot.com

            Panduan Penyusunan KTSP.2006.BSNP:Jakarta

Ruseffendi,E.T. 1980. Seri Kelima Pengajaran Matematika Modern. Tarsito:Bandung

Thérèse Dooley. 2007. Construction of Knowledge By Primary Pupils :The Role Of Whole-Class Interaction. Accesed by http://ermeweb.free.fr/CERME%205/WG11/11_Dooley.pdf at October 15 2011.