Tag Archives: teacher learning

Leading professional learning about dialogue in mathematics lessons: A focus on Talk Moves

 

In some of my recent work with primary school mathematics leaders in New South Wales, we have focused on ways of supporting teachers to engage their students in mathematical dialogue during mathematics lessons. We have focused on this considering that we know that effective teachers of mathematics know how to facilitate discussions in mathematics lessons. We also know that effective teachers can use that dialogue as a time for the students and the teacher to co-construct meanings about mathematics through that classroom talk.

My work with those mathematics leaders has been influenced by that of the NCTM, in particular, their work concerning the Principles to Action (2014). The NCTM endorsed eight practices that highlight ways of teaching mathematics effectively. Of those eight practices, one of them highlights a teacher practice concerned with the facilitation meaningful mathematical discourse. This is elaborated further with mention of the teachers’ use of knowledge and strategies that promote the building of shared understanding by and for the students. The focus of that discourse is on the analysis, comparison and contrast of student approaches, strategies, ways of thinking, and the arguments that take place through classroom dialogue.

As a way of enacting practices associated with mathematics dialogue in maths lessons, the mathematics leaders and I have explored the use of Talk Moves (e.g., Chapin, O’Connor, & Anderson, 2009). Since their introduction, the Talk Moves have been revised and interpreted in multiple ways. For example, the NSW Education Department has created some helpful resources on the Talk Moves based on the work of Chapin et al. (2009) which can be accessed via this URL (NSW Government numeracy resources: Talk moves). The Talk Moves, in whatever form they take, have provided the mathematics leaders with tools to support their leadership of school-based professional learning. This professional learning has focused on ways to develop teachers’ ability to highlight dialogue in their mathematics teaching by using the Talk Moves.

The Talk Moves on which we agreed to focus teachers’ professional learning on included: revoicing, restating, agree/disagree, reasoning, adding on, and wait time. After a coaching discussion with one mathematics leader, a dialogue move concerned with clarifying was also added. Working with some of the mathematics leaders in their schools, a general approach to leading teacher professional learning about the Talk Moves was developed.

Here are some of the leadership actions that were enacted by the mathematics leaders:

  • Auditing questioning practices and the types of dialogue already used by classroom teachers, using the Talk Move types to categorise the question and dialogue types
  • Reflecting on what aspects of dialogue practice is a strength of teachers’ activity in classrooms, and which Talk Moves had the potential to be focused on and developed
  • Engaging teachers in professional reading opportunities about the importance of dialogue and how questioning can support the facilitation of discussions in mathematics lessons. Some of the mathematics leaders shared the section on mathematical discourse by the NCTM (2014)
  • Posting Talk Move questions on anchor charts in the staffroom and teacher planning rooms where professional learning takes place and inviting teachers to add new questions that they find useful in developing each of the Talk Moves
  • Creating Mathematics Learning Walls (e.g., Stewart & Makin, 2017) where questions were posted as a means of prompting teachers to use the Talk Move questions and statement; further anchor charts were used on those learning walls as a way of making dialogue more visible to students
  • Setting goals with teachers to develop one or more of the Talk Moves, including planning evidence of goal achievement and strategies to make the goal a part of teacher practice
  • Co-teaching in classrooms so that teachers could see the mathematics leader model the use of Talk Moves and their associated questions, and so that the mathematics leader could provide feedback to classroom teachers
  • Creating Talk Move prompt cards (see below) which teachers used during mathematics lessons, and then using the cards with students as a way of encouraging more student-to-student talk

The ultimate goal of working with teachers to develop their practice with Talk Moves is so that students can engage in dialogue with each other using those dialogue moves. This is an ambitious goal to set for classroom teachers, but it is not unachievable. One of the mathematics leaders with whom I work has decided to create Talk Move cards (the final leadership action listed above).

These cards (downloaded from the link below) can be printed, cut out, and compiled, and then used by both teachers and students in mathematics classrooms. The mathematics leader intends to have their teachers use the cards as a prompt for their own teaching but also use the cards as a tool that encourages students to ask each other questions during mathematics lessons. There are plans for the mathematics leader to support teachers by encouraging them to focus on a specific Talk Move with their students for a set timeframe. Teachers will also be encouraged by the mathematics leader to set learning intentions and success criteria with students which are based on their students’ ability to engage in mathematics dialogue using the Talk Moves.

Talk move cards

Example of the Talk Move cards prepared for teacher and student use.

The mathematics leader also intends to ask teaching support staff members like the Classroom Support Assistants (CSAs) and Learning Support Officers (LSOs) to use the Talk Moves prompt cards. The reason for this is because the mathematics leader noticed that, in their work with supporting learning in classrooms, the CSAs and LSOs tend to support at-risk and vulnerable students by telling them what to say and what to think during mathematics lessons. That mathematics leader believes that the Talk Moves prompt cards would be helpful in moving the practices of the CSAs and LSOs from teaching focused on telling to teaching focused on questioning.

I would be keen to hear from primary school mathematics leaders who have focused their school-based professional learning leadership activity on the use of Talk Moves. The mathematics leaders with whom I work would appreciate hearing about your leadership actions so that they might enact similar activity that supports teacher professional learning in their schools.

The Talk Moves cards can be downloaded using the link below:

Talk moves prompt cards – Created by Matt Sexton

References

Chapin, S., O’Connor, C., & Anderson, N. (2009). Classroom discussions: Using math talk to help students learn, Grades K-6 (2nd ed.). Sausalito, CA: Math Solutions Publications.

National Council of Teachers of Mathematics (2014). Principles to actions: Ensuring mathematical success for all. Reston, VA: NCTM

Stewart, R., & Makin, L. (2017). Mathematics learning walls: The third teacher in the classroom. Prime Number, 32(4), 16-18.

What is your mathematics leadership purpose? Navigating the space with your “mathematics leadership compass”

person holding compass

I often encounter mathematics leaders who are seeking direction in their maths leadership. They often ask me, “What do I need to do as a maths leader?” Like the manner in which a compass helps direct the way, a question such as this one can bring focus to our leadership activity and help us navigate that space with greater purpose.

Questions about our maths leadership are important, and we need to spend time thinking about our purpose as maths leaders. Questions like these can help point us in the “right” direction. When I am asked questions about what maths leaders need to do, I often respond by asking another question. I tend to ask, “So, what do you see as the purpose of your mathematics leadership? What is your mathematics leadership compass?”

I often see a quizzical look on the maths leader’s face when they hear me ask about a “mathematics leadership compass”. I tend to tell the maths leader that I am asking about their leadership direction. This is not a question that can be answered quickly. It takes some serious reflection to identify the purpose and direction of our activity as maths leaders. Our leadership activity is multifaceted because as maths leaders we have to engage with aspects of our activity which are both leadership focused (for example, planning and leading professional learning) and managerial focused (like ordering mathematics teaching resources). For many maths leaders, they struggle to move beyond those managerial aspects of their leadership activity.

By now, you will have noticed that I refer a lot to “leadership activity”. This is linked to how I see the concept of leadership. In another section of this site (About LEaDME), I share my view of mathematics leadership. Essentially, I see maths leadership as activity that influences the mathematical knowledge, practices, and dispositions of all people engaged in a school community. This is no easy feat when you consider how vast mathematical knowledge and ways of thinking and working mathematically are, let alone thinking about all of the people involved in a primary school setting: the students, the parents and families, the classroom teachers and support staff, and of course, the school leadership team members like the principal, deputy principal and the other curriculum leaders. Just like a compass has points which help direct us as we try to navigate from one space to another, there are points in a school that can help direct our leadership activity. These are “points of intervention”.

Points of intervention 

A point of intervention is a place within an organised system where targeted activity can be enacted with the purpose of influencing that place and thus making a difference. In a school (an organised system), there are multiple “places” where targeted activity is enacted by particular people or groups of people for particular purposes. Student learning is the most important place in the system of the school. It is the primary reason why the school exists. We know from countless education research studies that the person who has the greatest influence on student learning in the school is the classroom teacher. Therefore, in any school, student learning is the point of intervention for the classroom teacher. This makes sense to us so we can carry this idea through to our maths leadership activity.

When I speak with many maths leaders, they passionately say that they are there for the students and they are there to improve the students’ mathematics learning. This is very admirable and I agree that maths leaders are there for the students. However, in many ways, it is unachievable to say that the maths leader can influence all students’ mathematics learning. It is an impossible task.

Teacher learning as the maths leader’s point of intervention

I would never discourage a maths leader from holding the purpose of improving student mathematics learning outcomes as it would be wrong of me to do so. I do, however, challenge maths leaders to seek a greater purpose (objective) which is focused on developing teacher learning. Just as the classroom teacher’s point of intervention is student learning, the maths leader’s point of intervention is teacher learning.

Your targeted mathematics leadership activity in your point of intervention (teacher learning) needs to influence and make a difference to teacher knowledge, teacher practices, and teacher dispositions for effective teaching and learning of mathematics in your school. By directing your leadership activity towards to your point of intervention which is teacher learning, your teachers should be able to use that professional learning to influence their own point of intervention which is student learning. In this sense, your maths leadership does influence student learning outcomes in mathematics but is through your point of intervention of teacher learning where you achieve this objective. Get to the point of your maths leadership activity by directing it in a way that influences and makes a difference to teacher learning, your point of intervention.

So, if you are thinking about the direction of your mathematics leadership, maybe you could think about your own mathematics leadership compass. Recognise that your point of intervention is teacher learning. It is through this point that you can find greater direction and focus for your leadership activity: influencing and making a difference to teacher knowledge, practices, and dispositions of and for effective mathematics teaching in your school.

The following questions might be helpful in identifying more aspects of your mathematics leadership compass, thinking about your point of intervention.  After reflecting on these questions and recording your responses, you might consider sharing them with your school principal or executive leadership team. Your responses might prove to be important conversation topics with your principal about ways that you could influence teacher learning in your school setting. By now, you would have worked out that your own mathematics leadership learning is the point of intervention for the principal at your school. Sharing your responses to the following questions might help your principal in her/his work in influencing and making a difference to your mathematics leadership knowledge, practices, and dispositions.

Reflective questions when thinking about your point of intervention of teacher learning

  • What leadership activity is required to support the development of your teachers’ mathematical content knowledge for effective maths teaching? What mathematics topics/concepts/ideas do your teachers need to know more about? What sources of information (data) might suggest this as a need?
  • What do your teachers need from you to deepen their pedagogical content knowledge (knowledge of teaching and assessment practices, ways that students learn mathematics, and knowledge of the maths curriculum) so that they can plan for, teach, and assess mathematics learning for all students? What sources of information (data) might suggest this as a need?
  • How do your teachers view mathematics? What are their beliefs and mindsets about maths? What relationship do they have with maths? How might their feelings and beliefs influence the “type” of maths that they might be teaching in their classroom?
  • What are the opportunities to develop teacher learning in mathematics education at your school? What structures are at the school that enhance teacher learning? What structures hinder teacher learning? What are possible ideas for transforming those hindrances to opportunities?
  • What resources do you need to lead teacher learning in mathematics? How might you access these resources?
  • What do you need to learn for yourself about how teachers learn to teach mathematics? Who or what might support you in this area? Which other staff members might support you in leading teacher learning in mathematics education?
  • How comfortable are you in leading teacher learning in mathematics? What support do you need in becoming more comfortable and more proficient in leading teacher learning in mathematics education?

Your own mathematics leadership compass will be as individual as you, and it will be different from that of another maths leader. We know this because school contexts and environments in which we work influence what we can and cannot do with our leadership activity within our point of intervention of teacher learning. Your mathematics leadership compass will also be influenced by your years of experience as a maths leader, and by your own personal knowledge of mathematics content and the pedagogies we use to teach mathematics effectively. It will also be influenced by what you know about the ways that teachers learn how to teach mathematics effectively.

Whatever your leadership activity, it should have a clear purpose on influencing teacher learning, as it is this objective that helps navigate and direct our activity as maths leaders…and it can make mathematics education in your school more effective.

So, what is your mathematics leadership compass?

I would love to hear from you about your thoughts.