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This link contains a small writing of Roy Pea, learning sciences pioneer. Putting on emphasis on the guidelines of mathematical education it also shares some ideas on how to use technology for mathamatic teaching. I find it interesting that although this is a 31-year-old document, ideas about teaching is quite up-to-date. Article contains ideas on the aim of the mathematical education which is to nurture problem solving skills and suggests softwares should be harmonious with this fact instead of drill and practice softwares.

There are many different factors investigated affecting students' mathematics learning before in the literature. However I had never read a research project about the instructional gestures supporting learning. It reveals that the gestures have a substantial role in comprehension. The results even shows that some studies triggers the learning even roughly twice.

This is quite interesting. I am curious to hear more about the results of this research.

I have seen this post when I was searching for how can interaction with peers contribute to learning maths. It is written by ROBERT SUN who is the CEO of Suntex International and inventor of First In Math, an online program designed for deep practice in mathematics. The things that are mentioned felt very similar with our country's situation actually, as learners how do we use concepts of maths (or any other courses) except from school? May be the first reason for our students cannot learn and hate maths is behind this question.

"Teachers can encourage their students to express themselves verbally using mathematical terms; even in the early grades, children can be asked to explain what they want or mean using numbers, or relationships between numbers. Anything that encourages them to talk about math and mathematical concepts is beneficial." Social math!. It looks like article emphasizes the importance of language in information exchange. It reminds me Vygotsky's socio-cultural theory in which he also believed that language is important for learning. He also purported that language is culture-dependent so each cultures' learning may be different from each other. In addition, providing opportunity to students to express themselves verbally can give us clues about current mental maps of students as to a specific topic (what is correct, what needs improvement, etc.). In addition, students can transfer their transformed ideas (ideas transformed from scholarly language to level-appropriate language) to their friends which can facilitate their learning.

Yasin, I am curious to hear about some of the contemporary approaches towards teaching Math, a subject generally taught with more traditional methods. Regarding mathphobia, we also need to think about the culture that stimulates that.

The article shows the connection between cognitive neuroscience and mathematics education with experiments.

Sinem this is really a good reading for math educators and have direct applicability to math instruction.

This is a very nice video about situated learning in mathematics. as i understood, the professor advocates that the more important thing is how you give a context rather than just saying what it is. Moreover, using of context of land, areas, puzzles or folk stories make students learn better. Thus, she mentioned that they prepare the books used in primary or elementary classes in terms of these characteristics, and since they do not have a national curriculum, every state makes its own national curriculum. SOme of the schools adapt to some extent and translate them. What about our country? Is it possible to redevelop the curricula in terms of different regions of our country? How should we make it?

A nice book enjoyable to read, which includes interesting ideas about thinking, computers and cognitive sciences

Yes, now I have reached the book:) thank you for sharing this with us. Reading on such creative people and getting to know them more is great.

Thanks. In my reading list now.

In this study, they compared CSCL based instructions and pen and paper methodologies in Mathematics education to enhance Student learning.

This is a research on the effect of technology and collaborative style on learning. This is another discussion topic we wil cover in the classroom. This effect paradigm reveal many inconsistencies that make it difficult to draw generalizations.

They say "No one else does what we do" while mentioning their interdisciplinary approach. They say that "The learning sciences field emerged more than two decades ago after researchers found that what worked in a laboratory simply did not hold up with real children, teachers, classrooms and workplaces. They saw that learning technologies, which held great promise for solving education's problems, were not being transferred to classrooms and schools. Cognitive scientists, educational and instructional psychologists, and computer scientists worked together to put their ideas and knowledge to use to improve the learning outcomes for a diverse group." The institute basically do two things: 1 - They identify the critical challenges in education, literacy, mathematics, science and the social sciences. 2- They work to find solutions. Their main aim is to create learning systems for 21st century classrooms thanks to interdisciplinary research in teaching and learning. They believe that learning is a complex process and so they get benefit from different disciplines (e.g. anthropology, computer science, education, linguistics, psychology and sociology) to share knowledge and best practices on education. At their another webpage, they define learning science as a science which "focuses on how to create new, improved and equitable learning environments for 21st century learners.". In order accomplish this, they focus on four questions: 1- How do people learn? 2- What do we want them to know and be able to do? 3- How can we design learning environments that help them learn? 4- How can we monitor what they are learning? They offer a Ph.D. program to raise future learning scientists.

This study conducted in Standford University School of Medicine reveals that brain scans from 8-year-old children can predict gains in their mathematical ability over the next six years. That is a great development to learn students' math ability and provide proper type and level of education accordingly.

Lee S. Shulman is an educational psychologist having notable contributions to the study of teaching, assessment of teaching, learning, science and mathematics. He is a retired professor from Stanford Graduate School of Education, past president of the Carnegie Foundation for the Advancement of Teaching, past president of the American Educational Research Association. Shulman is best known for popularizing the phrase "pedagogical content knowledge" (PCK). Shulman claimed that the emphases on teachers' subject knowledge and pedagogy were being treated as mutually exclusive. He thought that teacher education programs should combine these knowledge fields.

http://www.carnegiefoundation.org/elibrary/taking-learning-seriously This is an article by Shulman: "Taking Learning Seriously". He raises five questions about learning and answers them.

Dr. Roy Pea has been exploring how information technologies can support and advance learning and teaching, with particular focus on topics in science, mathematics, and technology education. He has published widely on such topics as distributed cognition, learning and education fostered by advanced technologies including scientific visualization, on-line communities, digital video collaboratories, and wireless handheld computers . He is the co-author of " How People Learn". You can see his other publications on the given link. It is possible to download some of his articles from the link.

" The mathematics teacher with TPACK (Technology Pedagogy Content Knowledge) is a chess player. "

A short funny video about situated learning. A teacher takes students to the supermarket so that they naturally learn basic subtraction in Math.

Although this article is a short one, it gives a brief information about six common characteristics that expert teachers have.

And to explain to you how I visualize the concept of an expert teacher I want to share a film trailer named as "Stand and Deliver (1988)" which is about a mathematics teacher and his unusual teaching methods and classroom management techniques that help his desperate students in a rural school pass the advanced calculus exam. https://www.youtube.com/watch?v=sG-Cxs8eYkI