Just to even see them even when they were off-task, to see what they were talking about and how can you get them back on task in a group work situation. Leaving Certificate Mathematics Syllabus: These codes were collected into themes and the research meetings were again analysed using this same coding system. Learning and Teaching for the 21st Century. Shulman, and classroom practices are described drawing upon examples from the research data within a frame of developing a problem solving approach. Eileen, in her third year of teaching, responded to this question on student thinking in her final interview:

Eileen Mine did, yeah. This approach is also made explicit in the curriculum where students should be encouraged to develop a range of problem solving strategies such as using diagrams, modelling and looking for patterns concrete applications in developing their relational understanding NCCA, b, c. In turn, within this dialogue students are encouraged to propose and develop their own ideas to answering a problem Boaler, ; Goos, ; Greeno, nurturing the investigative, problem solving approach encouraged by the curriculum Schoenfeld, It is going to look like a line though unfortunately. Developing Mathematical Knowledge for Teaching:

Two communities of mathematics teachers in two post-primary schools were engaged in the practice of lesson study, where they collaborated in an iterative cycle of planning, teaching, observing and reflecting on research lessons.

Staff ownership of mathematics teacher professional development. The challenge of preparing preservice teachers to teach informal inferential reasoning. Eileen Pretty much, yeah it is brilliant, like they really did just run with it and I didn’t say very much at all which is nice that they can just, like I didn’t give them a rule or a, or a method like, they just got on with it.

One particular learning moment for the teachers is identified in the data where teachers realise that they should not include numerical values within the questions, but maintain the abstract value in order to necessitate the fraction multiplication.

Project Maths – A fresh approach for changing times

This feature of situated realism also requires that any model of professional development adopted should be adaptable in order to best exist and flourish within that particular environment. Teacher meetings over numerous lesson study jcca were recorded and each of the 11 participating teachers was interviewed on three separate occasions during the academic year.


ncca problem solving

Irish Educational Studies, 20 1 Theory and Practice Vol. The Situativity of Knowing, Learning and Research.

CESI CS – Discussion 1 – NCCA Draft Curriculum

The Journal of Mathematical Behavior, 16 1 National Foundation for Educational Research. Why does this relate to our lives?

ncca problem solving

A Review of the Literature. Lesson study is employed within this research since it allows for and encourages many of the features of teacher community noted above: In planning these very detailed and adventurous lessons, teachers were clearly enjoying their creative, active and concrete approach to calculus in the nccz that their students would develop a better understanding of differentiation.

Fiona had 31 years of teaching experience, was always interested in experimenting with classroom practices and, at the start of this research, felt confident in teaching the revised curriculum. Journal of Educational Ncva, 7 4 Doone School Doone School were one of the initial phase 1 schools involved in the curriculum reform.

Michael and Dorrie particularly focused on students who were thought to solvjng a lesser ability in mathematics and were consistent in airing their points of view. While the culture in Crannog may not have been dramatically changed teachers were already comfortable with working with one anotherthe teacher community developed in their interactions with one another. Teachers acknowledged that changes had come about in their classroom culture, classroom practices and classroom environment due to their participation in lesson study.

In these student activities, the teacher acts as a facilitator of those discussions rather than as an unquestioned authority. Martin from sitting in a classroom observing how groups work it is easier to know what to expect, you know, when you go to do it yourself, but you observe how students learn Teachers were each given a booklet containing information on lesson study and soolving which they could utilise throughout the year.


Problem-solving in Maths

Phase 2 involves the rest of the approximately post-primary schools in Ireland introducing the phased curriculum in Teachers subsequently requested that same common free period for the following academic year.

They had not previously attempted going from the concrete to the abstract with this topic and within one of the latter planning meetings, Dave suggested that he had really never taught this topic properly until now.

ncca problem solving

This group of teachers were used to sharing resources with one another but, as they themselves expressed, were not used to a culture of proglem and had not functioned as a mathematics department. Within this research, it is investigated whether engaging in these activities of modifying and developing teaching and learning resources and enacting and observing the teaching of the new curriculum in the form solbing lesson study will encourage teachers in engaging with curriculum reform and adopting the teaching and learning approaches encouraged therein.

Orchestrating Productive Mathematical Discussions: The length of meetings varied often in Crannog where a common suitable period was difficult to arrange for teachers. Learning to think Mathematically: Qualitative Research and Evaluative Methods 3rd ed. A feature of developing shared meaning Bohm, acknowledges the importance of the community cultivating a sense of understanding and evolution of ideas through dialogic interactions Burbules, Throughout the lesson study cycles in both schools, it was apparent that teachers felt it necessary to try and contextualise questions for students in order to make topics more interesting and engaging for students, a feature particularly relevant to the Project Maths curriculum.