When considering the mathematics curriculum, many people focus on computational skills and believe that they constitute the full set of competencies that students must have in mathematics.

To improve their knowledge in Learning Mathematics, the people (students) not only learn from teacher’s explanation and doing some exercises, but also learning by doing and understanding. Learning does not mean simply receiving and remembering a transmitted message.

When educators begin to see learning as knowledge construction, they change their thinking about curriculum, instruction, and assessment, and also developing more powerful approaches to connecting thinking in mathematics and designing more mathematically instructional learning experiences. Learning experiences are:

1. **Hands-on**,

involving students in really doing mathematics – experimenting first-hand with physical objects in the environment and having concrete experience before learning abstract mathematical concepts.

Students learning by doing. Based on the research at the University of Chicago,

“This study highlights the importance of motor learning even in nonmotor tasks, and suggests that we may be able to lay the foundation for new knowledge just by telling learners how to move their hands,” writes lead author and psychologist Susan Goldin-Meadow in the article “Gesturing Gives Children New Ideas About Math”.

The students learn Mathematics with gesture. They are not still stuck on their seat when they were given problems. On each problem during the lesson, they were told to repeat the words or words/gestures they had been taught. Students can extract the information of the lesson from their gesture.

So the students can be active in the class and they can learn effectively. Beside of that, they can find something different that so interesting in the learning classroom.

2. **Minds-on**,

Students is thinking about thinking. Students improve their thinking and try to connect with their prior knowledge to get the new information. Students analyzes and describes the components of Mathematical concepts. So, the students can develop their Mathematical thought.

3. **Authentic learning**, allowing students to explore, discover, discuss, and meaningfully construct mathematical concepts and relationships in contexts that involve real-world problems and projects that are relevant and interesting to the learner.

Students construct their thinking about Mathematical concept and then create a concept in their mind. They can explore their knowledge and try to solve the real life problems to get something new about the concepts.

You can read more, in this link:

http://www.ncrel.org/sdrs/areas/issues/content/cntareas/math/ma300.htm

http://news.uchicago.edu/news.php?asset_id=1556

http://www.wiziq.com/tutorial/2290-Mathematics-mind-s-development

on November 17, 2010 at 2:30 am |joekeren!

setuju ma points nya..maybe you can add one thing again.

maybe,how you apply the things that you’ve learned.because if you learned somethings but you can apply it well,that will be useless.

that’s all

thanx..like your posting!

on November 17, 2010 at 2:46 am |vaniunohmm,, to apply that learning experiences, maybe we can conduct learning activities that can make students gain the new information from their findings and also their thinking.

For example we can make an activities like guided discovery. Teacher guide students dengan mengarahkan mereka untuk bergerak aktif dalam pembelajaran to find new information and new knowledge that related to the topic. For example, we have the topic about “peluang”. We can conduct some activities like menghitung peluang koin yang muncul dan mata dadu yang muncul dari suatu percobaan. the students practice it to find it. And then teacher give a problem to improve their thinking and also related to their prior knowledge.

Thank you 🙂

on November 17, 2010 at 5:05 am |yustianwooww..

it’s about studying math, right??

haha

actually math is my weakness.. =)

but, I’ll try to give comments on it..

first, I like par.2 which said that “To improve their knowledge in Learning Mathematics, the people (students) not only learn from teacher’s explanation and doing some exercises, but also learning by doing and understanding.”

From that sentences I remembered that my math teacher in SHS told me that I should do exercises as many as I could, because studying math can’t only from read but through exercise too. It makes you understand what is it about.

(but, I didn’t do it, because I get bored when I tried to do the exercises)

hahahahahahaha

Next, I agree with the statement in “hands on” part, which said that “experimenting first-hand with physical objects in the environment and having concrete experience before learning abstract mathematical concepts.”

actually, I got the lesson of psychology of language learning in my course.

it also said that “children should see and learn from the concrete things first before they get the abstract ones”

I think it is a must, because if we teach with something abstract first, they will not understand easily.

I’m sorry, I can only give those comments.

not in depth, because I didn’t have any experiences in math.. =)

on November 17, 2010 at 5:53 am |vaniunowoo are you feel bored to do exercises? not only you ko, me too :p

but in this case, teacher give an exercise that can make students feel enjoy the class, make students active in the class, and also improve their thinking. I think, the exercises in not only paper task, but we can conduct an interesting activity right? For example, we can use small quiz competition like “lomba cerdas cermat” for the exercises in the class. Maybe, students can show enthusiasm to do that.

And for hands on, i strongly agree with you ko.. children should see and learn from the concrete things first before they get the abstract ones. So, we should show the concrete ones through an activity that can make students participate activelt and effectively 🙂

Thanky you ko 😀

on November 17, 2010 at 2:10 pm |wiradynamicnice post..

hhe,

on November 17, 2010 at 6:58 pm |vaniunothank you 🙂

on November 19, 2010 at 5:46 am |RokyGw seruju ma topik yg lu angkat cuman lebih bagus klo lu posting juga penerapan secara realnya di pendidikan di indonesia secara khusus. Supaya yg baca lebih mengerti… Okay… Klo ga lu coba explore deh ma bahasa lu ndiri supaya bahasannya lebih menarik lagi…

on December 6, 2010 at 7:54 am |obertcan you share any example of the implementation in Indonesian classrooms?

on December 18, 2010 at 5:19 am |vaniunoMaybe the implementation of mathematically instructional learning experiences looked from P4TK. We can learn mathematics easily.. not only about the concept, but also the application of mathematics.

you can see on the website: http://p4tkmatematika.org/

and you can find the games that related to the mathematical concepts and can improve students higher order thinking 🙂

http://p4tkmatematika.org/permainan/

Hands on: the people can use physical objects in the environment for learn and more understand about the concepts of mathematics.

Minds on: students can create and re-create mathematical concepts and relationships in their own minds through the games or something that related to the learning process.

Authentic learning: students can solve the real problems, so they can understand about what they have learned.

Thank you 🙂

on December 15, 2010 at 5:18 pm |bet365Good day I was fortunate to discover your subject in yahoo

your subject is exceptional

I get a lot in your theme really thanks very much

btw the theme of you website is really marvelous

where can find it

on December 18, 2010 at 5:23 am |vaniunoThank you for your appreciation, glad to hear that 🙂

surely, you will find it too from internet, books, blogs, etc. 🙂