Overview

Session Focus

In this session you will consider ongoing assessment for learning and its impact on instruction. You will watch teachers as they assess their students’ understanding in different settings –playing a game, solving a problem, during a whole group share and by looking at their written work. You will consider what a teacher can learn through these interactions that informs their teaching and reflect on your own teaching practices.

It’s not enough just to ask the questions. You have to listen and be able to make sense of what kids are saying and what it tells you about what the students understand.”

Arusha Hollister & Megan Murray
NCSM 2014

In mathematics, as in any subject, teachers continually assess students’ strengths and needs and think through how best to accommodate differences to involve all students in substantive and challenging work. All students should be expected to achieve at high levels and to master more efficient strategies.

One way to think about high expectations for all students is to appreciate and acknowledge where a child currently is, and to figure out where you want her to go and how you can help her get there. To accomplish this, teachers must:

  • Know the curriculum. Study how the mathematical ideas build over many lessons. Take the time to understand the mathematics focus in each unit and of each lesson.
  • Know the mathematics. It’s important to understand how mathematical concepts ideas develop across the grades. Develop a solid understanding of mathematics content, how students learn, and effective, age appropriate pedagogy.
  • Know the students. Observe students at work, listen to their discourse, and develop an understanding of their mathematical ideas by analyzing what they say and do.
  • Have a plan. To find out what students are doing, and find examples of different strategies to share during the discussion, having a ‘game’ plan is key.
  • Establish classroom norms early on. Students work independently alone or in groups, they are expected to communicate their reasoning and listen to that of others, and they see mistakes as opportunities for learning. The environment is one where students can take risks and learn.
  • Ask questions that push students to explain their solution, clarify their thinking, or uncover a mistake.

Read Formative Assessment (NCTM)

How are summative and formative assessments different?

The difference between summative and formative assessments is not a function of types of either. It is about how they are used.

  • Formative applications of assessment are used to help student and teacher know where the student is headed, where they are now and how to close the gap.
  • Summative uses ask, “did the student get there?”
  • Any assessment can be used either way, depending on the context. But I prefer to keep them separate. When in a formative context, I want the grade book closed.”

From a live discussion with James Stiggins, Understanding Formative Assessment, EdWeek, November, 2015

Formative assessments help the teacher learn what students know and understand – a snapshot in time. This information enables the classroom teacher to make appropriate instructional decisions and provide tangible feedback to students during learning. Students can also self assess and play an active role in their learning.

Gathering information

A teacher may gather information by:

  • watching students engaged in their work, individually or as part of a group
  • listening to student conversations as they work in small groups or pairs
  • asking students to share their work and justify their thinking– in print and/or with tools; in the context of a game or story problem
  • asking clarifying or probing questions to better understand their thinking

Deciding which students to observe

Getting Started: Assessing in the Moment

Teacher observations are an important part of ongoing assessment. Although individual observations may be little more than snapshots of a student's experience with a single activity, when considered together over time, they can provide an informative and detailed picture. These observations can be useful in documenting and assessing a student's growth and offer important sources of information when preparing for family conferences or writing student reports.

Before the lesson, review the lesson and consider what you want to learn about your class or a group of students. Identify a focus and a few questions you think about as you observe. Example: “What strategies are the students using?” As you observe you may use or rephrase the focus question to ask students to clarify or better what they are doing and thinking. Examples: “What strategies are you using?” “Show me how you solved the problem.”

Decide how you plan to record and keep track of your observations of students. The most important aspect of a record-keeping system is that it be both manageable and useful for you. Some teachers:

  • Jot down observations of students’ work on a class list of names. Because the space is somewhat limited, it is not possible to write lengthy notes; however, when kept over time, these short observations provide important information.
  • Place stick-on address labels on a clipboard. Take notes on individual students and then peel these labels off and put them in a file for each student.
  • Jot down brief notes at the end of each week. Some teachers find that this is a useful way of reflecting on the class as a whole, on the curriculum, and on individual students. Planning for the next week's activities can benefit from these weekly reflections.
  • Use technology such as a camera, smartphone, tablet or audio to document students as they work. The advantage of documenting is that you can review the student working at a later time. Most schools require parental permission to record students.
  • Collect portfolios that might include observation checklists, digital recordings of students at work, student work on written assessments, and other examples of students’ written work.

The first step of an assessment plan is preparing to begin with the end in mind. This means deconstructing the curriculum outcomes or standards into groups of 'big ideas' that make sense for you and your learners. Then think about how best to express the collection of standards in each grouping in learner-friendly language. Research and practice support this powerful idea.”

Research Connection - Visible Learning, John Hattie

The second grade teacher in this video describes what he does to informally assess students as they work.

From the Field

Assessment for Learning and Assessment of Learning

  1. Assessment for learning is the big deal, while assessment of learning is the done deal.
  2. Assessment for learning is formative, while assessment of learning is summative.
  3. Assessment for learning is supportive, while assessment of learning measures.
  4. Assessment for learning uses descriptions, while assessment of learning uses scores.
  5. Assessment for learning happens day by day, moment by moment, while assessment of learning happens at the end.

The assertion is that neither one is better than the other, but both need to be used within a students learning so that the student is able to understand not only the work that is being asked of them, but also how their own learning occurs. Assessment for learning is intended to be both diagnostic and formative to help students improve their learning.

Assessing for Learning, Bryan Funk (2009) This Page was edited by Kari Duffy (January 2010)

Table developed by Ann Davies, PH.D. author Making Classroom Assessment Work, Solution Tree, 2011