Good Questions for Math Teaching: Why Ask Them and What to Ask, Grades K-5 - Softcover

Sullivan, Peter; Lilburn, Pat

 
9781935099765: Good Questions for Math Teaching: Why Ask Them and What to Ask, Grades K-5

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This former Math Solutions publication is now published by Heinemann (9780325137599). Visit Heinemann.com/Math to learn more!

Good Questions for Math Teaching

  • What is a good question?
  • How do I create a good question?
  • How might I use a good question in my mathematics classroom?
Not only does this powerful resource answer these questions, it also provides more than 300 examples of open-ended tasks, in question format, to support you in creating dynamic learning environments and helping students make sense of math. Designed as a supplement to your mathematics curriculum, the tasks can be seamlessly embedded within lessons and units of study, used for warm-up routines and review, and incorporated into assessments. The second edition of this popular resource includes all-time favorite questions as well as new ones!

Questions cover financial literacy; counting and place value; decimals; operations (addition, subtraction, multiplication, division); fractions (fraction models, comparing fractions, adding and subtracting fractions); geometry (two-dimensional and three-dimensional shapes); data analysis and probability, and measurement (weight, volume, area, time, length and perimeter).
 

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Über die Autorin bzw. den Autor

Pat Lilburn has more than twenty years of experience as a university lecturer and classroom teacher in elementary mathematics education. She earned her master’s degree in Education (Mathematics Learning) and has written more than twenty internationally published math resources, including Investigations, Tasks, and Rubrics to Teach and Assess Math, Grades 1–6, published by Math Solutions.
 
Peter Sullivan is an Emeritus Professor of Education at Monash University in Australia. He has been President of the Australian Association of Mathematics Teachers, Chief Editor of the Mathematics Education Research Journal, and a member of the Early Numeracy Research Project team. He has an extensive list of publications, from books to journal articles.
 

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Why This Resource?
Our goals of education are for our students to think, to learn, to analyze, to criticize, and to be able to solve unfamiliar problems, and it follows that good questions should be part of the instructional repertoire of all teachers of mathematics. As we work to emphasize problem solving, the application of concepts and procedures, and the development of a variety of thinking skills in our mathematics curricula, it becomes vital that we pay increased attention to the improvement of our questioning techniques in mathematics lessons. As teachers of mathematics, we want our students not only to understand what they think but also to be able to articulate how they arrived at those understandings. Developing productive questions can help focus learning on the process of thinking while attending to the study of content (Dantonio and Beisenherz 2001, 60). Good questions created and posed by teachers ultimately become powerful tools for student learning. In Good Questions for Math Teaching, Grades K&;5, Second Edition, we describe the features of good questions, show how to create good questions, give some practical ideas for using them in your classroom, and provide many good questions that you can use in your mathematics program. By asking careful, purposeful questions, teachers create dynamic learning environments, help students make sense of math, and unravel misconceptions.

When Should I Use These Questions?
Here are a few of our favorite scenarios for when to use good questions.

  • Use good questions to supplement your mathematics curriculum. 
  • Use good questions for warm-up routines or for review. 
  • Incorporate good questions into homework and/or assessments

Use Good Questions to Supplement Your Mathematics Curriculum
The questions in this book are designed as a supplement to your mathematics curriculum. Good questions can be used as the basis for an entire lesson, either as a lesson that stands alone or as part of a unit of study. As you progress through a unit of study, you may want to ask your students questions in this book that correspond to that unit. Embedding questions from this book within your lessons may further enhance student learning and understanding. When studying subtraction, for example, you may wish to refer to the questions in this book to support, extend, or enrich your present curriculum. If current practice has your students solving word problems that have only one answer, you may wish to ask students questions that allow for multiple answers&;and approaches&; such as Chapter 7, Question 16 on page 71 (I have some marbles. I give some away to my friends and am left with fifteen. How many marbles might I have started with and how many might I have given away?). By constructing an answer to this question, students gain valuable experience with subtraction and also gain insights into the relationship between addition and subtraction as two operations that &;undo&; one another.

Use Good Questions for Warm-Up Routines or for Review
Another way to use this book is to use the questions as a daily warm-up activity or &;do now&; activity for the start of math class. You may choose a question that corresponds to the current unit or a question that requires students to review a particularly challenging or important skill or concept. Students can talk about the question with their peers before you convene the class with a discussion of students&; answers. This routine makes good use of transition time while immediately focusing math class on reasoning and communication.

Incorporate Good Questions into Homework and/or Assessments
In addition to using these questions during instructional time, you could assign them for homework or incorporate them in your assessments. Typically, math homework and assessment practices tend to focus on skills and/or closed questions that require recall of what was learned in class. If your students usually complete a review worksheet of the day&;s lesson, attach (or even substitute) a question from this book that will require them to think beyond what they have learned, to connect an understanding from a previous lesson, or to confront a misconception that may have arisen during class. In addition, if students&; assessments normally include computations and problems for which there is only one correct answer, adapt those assessments to include some questions from this book that will allow students to think creatively about the mathematics they are learning.
 

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