Habit 5: Predict, Infer, Recognize Trends, Use Patterns, and Generate and Test Hypotheses
Closure:
In the text, the authors define Predict, Infer, Hypothesis and Pattern.
Write your own definition for those words for your grade level using math as
the context.
Predict - to guess ahead of time an answer or what they will learn. Infer - To look for clues to understand a problem. Hypothesis - a guess using what you know about a problem that can be tested or studied more. Pattern - something that repeats over and over with a rule that can be predicted.
The ideas of predicting, inferring, and hypothesizing fit with my book's emphasis on the dialogic classroom. These ways of thinking depend on the ability to take another perspective and to be open to possibilities. Ch.5 in my book emphasizes the importance of teaching students to use words like "maybe,"perhaps," "could be," and "I think" when describing their answers and their thinking about those answers. That way, if the answer is not correct (or there are multiple possible answers)it leaves the student open to change a hypothesis or prediction without feeling embarrassed. It's more about the process of making predictions, checking them against the evidence, and being willing to change based on new evidence. This approach should encourage academic risk taking.
Predict-Use what you already know about addition and subtraction to make a guess about how you will add and subtract positive and negative numbers.
Infer- I'm struggling with this one...very similar to predict.
Hypothesis-Use what you already know about multiplication and arrays to make a guess about how many square numbers will be between 0 and 1000 and then find out.
Pattern-Look at the line on the graph and determine what the next point will be.
Predict-An informed/educated guess about what will likely happen based on what you already know about (this) math.
ReplyDeleteInfer-To make sense of (this) math by using the given clues.
Hypothesis-What you think will happen when you solve the problem based on what you already know about (this) math.
Pattern-A repeating arrangement of symbols, numbers, or shapes that can be predicted.
Predict-A guess of what you think the answer or process will be to the problem.
ReplyDeleteInfer- Using what you already know to make sense of/solve the new equation in front of you.
Hypothesis-Using what you already know about the math plus what is already in your brain to discuss a problem.
Pattern-What you see over and over again(in this math).
Predict - to guess ahead of time an answer or what they will learn.
ReplyDeleteInfer - To look for clues to understand a problem.
Hypothesis - a guess using what you know about a problem that can be tested or studied more.
Pattern - something that repeats over and over with a rule that can be predicted.
Predict - to guess what might happen based on numbers, symbols or process observed.
ReplyDeleteInfer - to take what you know about numbers and apply it to new numbers
Hypothesis - taking a prediction, testing your idea and then discussing why it did or didn't work.
Pattern - a repeated design; repeating shapes; repeating numbers
Predict: to guess what might happen based on what you already know
ReplyDeleteInfer: to use what you already know to help understand a new concept or skill
Hypothesis: to make a prediction about how to go about solving a problem, testing that hypothesis, and then analyzing why it did or did not work
Pattern: a repetition of numbers, shapes, symbols, etc.- not only recognizing them but then figuring out why it happens like that
Predict: To use known information to guess about the answer, pattern, rule, or problem steps.
ReplyDeleteInfer: To use what you have already learned in a new math situation.
Hypotheses: The guess made during the prediction (which can be tested or looked at more closely).
Pattern: Numbers, shapes, or other things that repeat using a rule.
The ideas of predicting, inferring, and hypothesizing fit with my book's emphasis on the dialogic classroom. These ways of thinking depend on the ability to take another perspective and to be open to possibilities. Ch.5 in my book emphasizes the importance of teaching students to use words like "maybe,"perhaps," "could be," and "I think" when describing their answers and their thinking about those answers. That way, if the answer is not correct (or there are multiple possible answers)it leaves the student open to change a hypothesis or prediction without feeling embarrassed. It's more about the process of making predictions, checking them against the evidence, and being willing to change based on new evidence. This approach should encourage academic risk taking.
ReplyDeletePredict - A guess of what the answer to the problem might be. A guess of what they think will happen next.
ReplyDeleteInfer - Using what you already know to help you understand the problem or process.
Hypothesis - A guess using what you know and then testing it to see if it worked.
Pattern - Something that repeats itself over and over
Predict-Use what you already know about addition and subtraction to make a guess about how you will add and subtract positive and negative numbers.
ReplyDeleteInfer- I'm struggling with this one...very similar to predict.
Hypothesis-Use what you already know about multiplication and arrays to make a guess about how many square numbers will be between 0 and 1000 and then find out.
Pattern-Look at the line on the graph and determine what the next point will be.