Kunci Jawaban Logika Matematika

Kunci Jawaban Logika MatematikaBEBAEBEEBE

Utak - atik logika matematika

Dari tahun 2000 s.d. 2007 soal ujian nasional logika matematika hanya 1 soal tiap tahunnya. Soal lebih banyak tentang materi Penarikan kesimpulan, lebih sering modus tollens dan silogisme.Bentuk implikasi pada soal tersebut lebih sering ditampilkan dalam bentuk ekuivalennya yaitu ~p V q.

Soal Logika Matematika

Berikut ini adalah soal – soal logika matematika yang saya ambil dari soal Ujian Nasional tahun 2000 s.d. 2007Jika anda butuh soal berikut dalam bentuk Microsoft Word anda dapat menghubungi email saya : matematika3sma@gmail.comMateri pokok : Invers, Konvers, Kontraposisi1.Kontraposisi dari pernyataan majemuk p → ( p V ~q ) adalah ….( p V ~q ) → ~p(~p Λ q ) → ~p( p V ~

Kunci jawaban Dimensi tiga

Kunci Jawaban Dimensi TigaAEECBBBCBCDDABABDBCDB?

Utak - atik dimensi tiga

Hari ini akhirnya saya bisa menyelesaikan kumpulan soal - soal Ujian Nasional untuk materi dimensi tiga dari tahun 2000 s.d. 2007.soal sudah saya kelompokkan berdasarkan materi pokok.Secara umum soal Ujian Nasional untuk materi dimensi tiga lebih didominasi oleh materi :1. Jarak pada bangun ruangmateri ini lebih banyak didominasi oleh soal untuk mencari jarak antara titik ke garis, sekalipun

Soal Dimensi Tiga

Berikut ini adalah soal – soal dimensi tiga yang saya ambil dari soal Ujian Nasional tahun 2000 s.d. 2007Jika anda butuh soal berikut dalam bentuk Microsoft Word anda dapat klik disiniMateri pokok : Volume benda ruang1. Pada kubus PQRS.TUVW dengan panjang rusuk a satuan, terdapat bola luar dinyatakan B1 dan bola dalam dalam dinyatakan B2. Perbandingan volume bola B1 dan B2 adalah ….a. 3√3 : 1b. 2

Birthday

Hari ini adalah tepat 28 tahun yang lalu saya dikeluarkan dari rahim ibu saya. Dan hari ini juga 4 minggu yang lalu anak ke -3 saya lahir (laki - laki).Sudah 28 tahun mengisi hari - hari di bumi ini, tetapi seperti tahun - tahun sebelumnya tidak ada yang bertambah dalam diri saya seiring bertambahnya umur. Dari segi ilmu tidak ada peningkatan, dari amal soleh juga tidak ada peningkatan (yang ada

SIlaturrahim

Semalam saya baru saja bertemu dengan teman lama, sampai lupa sudah berapa tahun tidak bertemu sama teman saya ini.Ternyata setelah lama tidak bertemu banyak cerita dan pelajaran yang saya dapat dari pertemuan itu :1. Jangan pernah meninggalkan kenangan terindah yang pernah kita habiskan bareng teman – teman kitaIni penting sebab masa – masa indah tersebut mungkin adalah masa dimana kita

Hari Pertama

Wah, hari ini adalah hari pertama blog ini kutulis.Senang juga rasanya bisa bersama - sama orang diseantero jagat raya ini saling berbagi tulisan dan kata - kata. semoga apa yang aku akan tulis di blog ini akan seindah aurora yang ada dikutub utara dan dan kutub selatan dan banyak manfaatnya untuk umat manusia.

Weblog for my students

Created a weblog for my students.

Mathematics teaching is more fun now. Even in the holidays we are learning and sharing mathematics. I hope this method will definitely improve the present situation of mathematics. The students will be able to learn outside the classroom according to their convenience.The URL for my students website is http://mykhmsmathclass.blogspot.com/

The purpose of creating this weblog ...

• Posting mathematics activities done in the mathematics laboratory.
• Posting useful links and information about mathematics projects and ideas.
• Sharing work done by students as maths projects.
• General class related instructions/information.

Classroom Blogging

During the past six months I have been constantly exploring the internet and the other resources for finding a new strategy which could help me in making the teaching/learning of mathematics more interesting and effective. And after a lot of research I have come to the conclusion of starting classroom blogging with my new students. I have realized that it is now easier to integrate the technology, particularly the internet, in the teaching/learning process. Also the publishing on the web has become convenient and easier. No special technical knowledge or training is required for doing the same. With a few simple clicks of the mouse, anybody can have their own Web page and begin creating content for others to see.
I have planned to create two blogs .The first one will be mine where I will be posting the lesson plans, activities, reading material, guidelines, references of the websites etc. for my student’s .The second one will be my classroom blog where the students will be posting their work. I think this idea would definitely help those students who because of their shy nature are not able to express themselves in the classroom. I think this new approach will instill confidence in the students because they will be able to express their ideas by writing them. And for writing something one has to wrestle with the thoughts, which are generated only when worked upon in depth. I am very positive in starting this new strategy with my students. I will share my experience about the same very soon.

The Power of internet

Exploring … “The Power of internet in math education”
Internet has emerged as an ALLADIN KA CHIRAG for the teachers, educators and the students. I will share ONE OF my experiences of how it has helped me in taking out the best from my students in the learning of mathematics. My previous year students of class 10 were to work on a mathematics project in the summer holidays. I prepared general guidelines for the project and created an email ID for the students so that we can communicate during the holidays. This was purely done on experimental basis. In the beginning I was not 100% sure whether the students will be comfortable with working like this. And how the parents will react to this approach? But I must appreciate the fact that not even a single parent out of the whole class of 50 students turn up with any of the complaint, rather through email they appreciated the effort. In the first mail all the students informed me about their topic of investigation and a brief about the group members. Then I suggested them with number of websites from where they can get useful information related to their topic. Most of the students took the help from their family members to mail to me the content searched by them. Some of the students while working on the project suggested me new tools of learning and doing mathematics. This shows their keen interest and the enthusiasm of learning and sharing too. That was a wonderful experience working with students and sharing and learning too. It has not only raised the level of achievement of learning but has motivated me to do more and explore more for my students. In my teaching career I have been constantly thinking and working on new stuff so that I can keep motivating my students towards learning of mathematics. I feel that I have not yet fully tapped what I see to be the vast potentials of the Internet. Whatever I have experimented represent the sprouting of seeds of this endeavor. The best is yet to come.

Mathematics Anxiety

athematics is considered as one of the toughest subject by majority of students.There are very few students in the classroom who really love to learn and explore the mathematical concepts.I have found the students saying·...

I am afraid to ask questions in math class.
· I am always worried about being called on in math class.
· I fear math tests more than any other subject.
· I don't know how to study for math tests.
· I am afraid I won't be able to keep up with the rest of the class.
· I don’t know whether I will be able to write my mathematics paper.
· I am worried today is my mathematics exam.
· Math exams terrify me. My palms get sweaty, I breathe too fast, and often I can't even make my eyes focus on the paper.

f the students are saying such things, then they are having math anxiety, which is a feeling of intense frustration or helplessness about one's ability to do math. Anxiety is stress, tension and strain brought onto one’s body and mind.

ome Solutions .......
Given the fact that many students experience math anxiety in the traditional classroom, teachers should design classrooms that will make children feel more successful . Students must have a high level of success or a level of failure that they can tolerate.

The incorrect responses must be handled in a positive way to encourage student participation and enhance student confidence.

Everyone is capable of learning, but may learn in different ways. Therefore, lessons must be presented in a variety of ways. For example, different ways to teach a new concept can be through play acting, cooperative groups, visual aids, hands on activities and technology.

Students today have a need for practical math. Therefore, math needs to be relevant to their everyday lives. Students enjoy experimenting. To learn mathematics, students must be engaged in exploring, conjecturing, and thinking rather than, engaged only in rote learning of rules and procedures.

Math must be looked upon in a positive light to reduce anxiety. A person’s state of mind has a great influence on his/her success. Many games are based on math concepts. Some games that are beneficial to learners and are enjoyed are cards playing, Life, Yahtzee, Battleship and Tangrams.

With all the tension and anxiety, math humor is greatly needed. Young children enjoy cartoons and jokes. Cartoons may be used to introduce a concept or for class discussion. Most children will master mathematical concepts and skills more readily if they are presented first in concrete, pictorial and symbols.

Manipulatives are concrete objects used to teach a concept. By using manipulatives, pictures and symbols to model or represent abstract ideas, the stage is set for young learners to understand the abstractions they represent. Students enjoy the change from lecture and books and they are more inclined to explore with manipulatives and show greater interest in classwork.

Cooperative groups provide students a chance to exchange ideas, to ask questions freely, to explain to one another, to clarify ideas in meaningful ways and to express feelings about their learning. These skills acquired at an early age will be greatly beneficial throughout their adult working life.

n conclusion, math anxiety is very real and occurs among thousands of people. Much of this anxiety happens in the classroom due to the lack of consideration of different learning styles of students. Today, the needs of society require a greater need for mathematics. Math must be looked upon in a positive light to reduce math anxiety. Therefore, teachers must re-examine traditional teaching methods which often do not match students’ learning styles and skills needed in society. Lessons must be presented in a variety of ways. For instance, a new concept can be taught through play acting, cooperative groups, visual aids, hands on activities and technology. As a result once young children see math as fun, they will enjoy it, and, the joy of mathematics could remain with them throughout the rest of their lives.

Mathematics Laboratory

Sharing with you experience of mathematics laboratory and how it has helped the students in learning of the mathematical concepts.
· The idea behind introducing the concept of Mathematics laboratories is to try and make the curriculum transaction of the subject more meaningful.
· This has served as a platform to explain abstract concepts that are generally difficult to teach students in the classroom.
· The initiative of setting up the mathematics was laid on the foundation by noting that the current style of teaching of the subject lays "too much emphasis on symbols, formulae and their manipulations and relatively little attention to physical significance and interpretation''. By means of simple activities we are able to explain the abstract concepts.
· Surely, I have realized that it is an important initiative towards making learning a more enjoyable process.
· All the students are empowered to actively do meaningful mathematics. They have gained confidence in their ability to do mathematics, become mathematical problem solvers, reason mathematically, and communicate mathematically.
· Accordingly, my role has changed from that of a dispenser of knowledge to that of a facilitator of learning. Being a teacher I simply guide my students through experiences in which the students explore, verify, generalize, and apply results to other settings and realistic problems.
· Earlier the students use to hesitate in asking the question and now after exploring the concepts and visualizing them ,they are able to reason their queries while discussions in the classroom.
This change really makes me happy because being a teacher whatever we do, is to benefit our students.

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Some interesting mathematics models

Students are happy in doing something interesting and challenging. Here is an interesting model making for them.
A moving sculpture made from paper ...
As I turn this little paper sculpture inside-out, it changes colours.
http://sci-toys.com/scitoys/scitoys/mathematics/paper_ring.html
There is one more model making description on this URL which is called a Geodesic Dome.For more detail click on the above link.