STEM 1

When shown a quantity ( example: 5 oranges):

students should be able to say the number that names the quantity, students should be able to write the numeral in standard notation

An important idea in all measurement is the notion of

the unit

As with other numbers, we want our students:

to recognize and name decimal quantities using appropriate terminology, to use appropriate models to show decimal quantities, and to write decimals using appropriate notation.

Which is statement is not Best Practice

More one-way transmission of information from teacher to student and class tie devoted to seat work

Choose an appropriate language objective for a math activity:

SWBAT explain their answer to a neighbor.

Identify the four STEM fields

Science, Math, Technology, Engineering

STEM literacy weaves together four interrelated capabilities. Identify the four

Scientific Literacy Technological Literacy Engineering Literacy Mathematical Literacy

Choose the two DECREASE statements according to the research on the BEST PRACTICE of math teaching:

copying conventional algorithms without understanding, use of cue words to determine operation to be used

Identify three of the 21st century skills

critical thinking, social skills, initiative

Which SIOP component is most associated with providing many opportunities to perfect a skill?

Practice and application

Identify the four ways to differentiate instruction?

Process, product, learning environment, content

When problems are posed as word problems

Provide worksheets with problems with the same scenario but with different numbers so children can use the pre-arranged equation and plug in the numbers to find the solution.

Which adaptation would be most appropriate for a child whose learning disability includes figure-ground confusion:

Remove irrelevant background stimuli from the worksheet

Learning logs, drawings, drama, etc are used in Best Practice classrooms. This BEST falls under the category of:

Representing to learn

An excellent developmental teaching method is one called the laboratory approach. The students are led through a series of steps

The explore or experiment, keep an organized record of results, identify patterns, hypothesize how to get results without the model, and test the hypothesis.

The ABCD of writing objectives are:

audience, degree, behavior, condition

Identify the developmental sequence for addition:

develop thinking strategies for hard addition facts, develop the algorithm, develop the easy basic facts, establish the meaning of the operation (addition), develop the hard facts

Identify the 4 math activity types:

developmental, assessment, practice, application

Identify the Big Ideas for DIVISION:

divide one unit at a time, trade remainders for smaller units

Identify what a teacher must do when teaching the subtraction algorithm:

emphasize big ideas, let the children see what it looks like, let the written algorithm simply be a recording of what happens when the algorithm is modeled, de- emphasize rote rules, watch your language

Identify the steps of the laboratory approach MLA:

explore and experiment, keep an organized recorded, identify patterns, hypothesize, test the hypothesis

According to Tucker, what are the three things to remember when teaching young children mathematics:

get inside the heads of the children, encourage children to communicate about math in their own words, develop new ideas within context that are familiar to the children

Identify 6+1 writing traits:

ideas, word choice, organization, presentation, sentence fluency, voice

Identify the 5 ways to adapt any math activity

increase development, monitor constantly, increase communication, increase visuals, increase kinesthetics

Identify three "increase" statements from the research on the best practice of teaching mathematics:

justification of thinking, everyday problems and applications, sharing representations to communicate ideas

Backwards planning means that you

look at your assessment and plan your lesson so that your students will be able to meet the assessment criteria

Students need to understand that there is symmetry in the decimal numeration system. The system is symmetric around the

ones

Identify the Big Ideas for MULTIPLICATION:

partial product, multiplication by 10

Which bests practice teaching structure has teachers explicitly model for kids how to: +monitor your comprehension + make sensor images + make connections with background knowledge + ask questions,

strategic thinking

The SIOP component most associated with teaching children problem solving skills is:

strategies

The money model is another way to represent decimals. To represent 23.25, we use:

2 ten-dollar bills, 3 one-dollar bills, two dimes, and 5 pennies.

When using the base-10 block set, we represent 3.321 with

3 three large cubes, 3 flats, 2 rods, and one small cube.

How do you write the number "three thousand, one hundred twenty-four" in standard notation?

3,124

The decimal square model is a two-dimensional model that lends itself to the printed page. To represent 4.32, we use:

4 large squares, 3 strips, and 2 smaller squares

Identify the objective TEST item:

5+3=8. True or False

Identify an objective test item from an addition test:

7 + 3 =.... a. 9 b. 6 c. 10 d 01

Practice activities

Activities that help students to become proficient in the use of concepts and skills that have already been developed we classify as:

When we name a fraction of a region

All the parts must be the same size

When we name a fraction of a set,

All the parts must have the same number of objects

Choose the three statements that reflect "best practices" in the teaching of mathematics:

Cooperative groups, use of manipulatives, justifying answers and solution processes

A device called the ____________helps us to identify the place values

Decimal point

Assessment activities are activities that require students to

Demonstrate in an observable way, their depth of learning of concepts and skills.

There are four distinct steps in the development of the ability to compare fractions. Which should occur first?

Develop a strong mental imagery for the fractional units.

Tucker, the author of the text, classifies activities into four types:

Developmental activities, practice activities, application activities, and assessment activities.

Which one of these is NOT one of the Big Ideas of problem-solving:

Emphasize rote rules

Lesson planning that is more likely to be appropriate for all children in a diverse classroom includes accomplishing the following

Expanding the development, increasing visual input, increasing kinesthetic activity, increase student communication, and monitoring learning continually.

The set up for comparison subtraction for the problem, 3-2 is 000 - 00 =,

False 000 - 2 =

The set-up for 5 + 3 with manipulatives is: 00000 + 3 =,

False 00000 + 000 =

The set-up for the take-away subtraction problem of 7-2 is 0000000 - 00

False 0000000 - 2 =

The Big Ideas for addition are:

First, always add like units. Second, when there are too many to write, make a trade.

The Big Ideas for subtraction are

First, always subtract like units. Second, when there are not enough, make a trade.

The developmental sequence for teaching whole-number addition or subtraction is

First, develop the meaning of the operation. Second, develop the easy basic facts. Third, develop thinking strategies for hard facts. Fourth, develop the hard facts. Fifth, develop the algorithm.

When teaching the subtraction or addition operation of whole numbers, the teacher must complete three distinct instructional tasks:

First, develop the meaning of the operation. Second, develop the basic facts. Third, develop the algorithm(s).

To promote the children's ability to attain the goals of numbers and numeration, the proper order is:

First, identify the quantity that is named. Second, name the number or say it. Third, write the number using standard notation.

When teaching children the addition or subtraction algorithm, we must do the following:

First, let them see what the operation looks like through the use of manipulatives. Second, de-emphasize rote rules. Third, emphasize the big ideas. Fourth, let the written algorithm simply be a recording of what happens when the algorithm is modeled. Fifth, watch our language.

This is an important concept, but it is not a geometry Big Idea?

Flatness

This best practice teaching structure is a stepwise transfer of responsibility from the teacher to the students. This is known as:

Gradual release of responsibility

Which statement is NOT a quality of Best Practice in teaching mathematics?

Help students learn isolated topics and develop skills out of context by memorizing facts and formulas and relying on authorities such as teacher and answer keys.

The most common mistake made in teaching length measurement is to begin with...

Helping students become familiar with and proficient in the use of measurement tools that make use of the units in the system.

Collaborative activities

In Best Practice classrooms, students work together effectively in small groups—in pairs, threes, ad hoc groups, and long-term teams—without constant teacher supervision. This falls BEST under the category of:

When adapting a lesson for a diverse group of students, we need the accomplish the following goals:

Increase the development, provide more visual information, add more kinesthetic activity, plan for more oral communication about math among and from the children, and plan for continual monitoring of learning.

Teachers, who provide support for English learners by using small-group activities so their students can speak and use academic English plan for which SIOP component?

Interactions

Which SIOP component is most associated with organizing your classroom environment to encourage student discussion?

Interactions

A math lesson

Is a related set of instructional and learning activities organized in a coherent manner

The process of agreeing on the length of the units is called

Standardization of the units

In order for a teacher of young children to be more successful in teaching mathematics they should:

Learn how young children think. Encourage children to communicate about math in their own words. Develop new ideas within the contexts that are familiar to the children.

Which SIOP component is most associated with writing an appropriate content objective and language objective

Lesson Preparation

Which one is not considered a problem-solving strategy aka Big Ideas for problem solving?

Look for key words

The concept of area should be developed first by:

Making gross comparisons of the areas of different objects

Which statement is MOST ASSOCIATED with increasing as a teaching practice according to Best Practice?

Open-ended problems and extended problem-solving projects

Although some primarily in one subject area, learning disabilities generally cross academic students have disabilities exhibited content lines as a result of

Perceptual, listening/attending, remembering, and/or thinking/understanding difficulties

Identify SIOP components:

Strategies, interaction, lesson delivery, Lesson preparation, comprehensible input, practice and application

Choose the four statements that are associated with Best Practice in teaching children mathematics:

The goal of teaching mathematics is to help all students understand concepts and use them powerfully, One must realize that although numbers and computation are an important part of mathematics, they are only one part. Mathematics is the science of patterns, Teachers should help all students understand that mathematics is a dynamic, coherent, interconnected set of ideas, Five intertwined processes build mathematical understanding: making connections, using reasoning and developing proofs, problem solving, creating representations, and communicating ideas.

gradual release of responsibility

The laboratory approach aka the Math Lab Approach has the teacher build on the children's background knowledge first. Next, the teacher introduces the new algorithm with the use of manipulatives and guides the children through the process of exploring and experimenting. Eventually, the children work in small groups or in pairs or by themselves as they work independently of the teacher. The teacher monitors the learning, asks questions, and learns with the children. The children take control of the learning. The teacher acts more like a guide and facilitator. This best practice teaching structure is an example of:

Children should be able to achieve three goals with fractions EXCEPT for:

They should be able to write the fraction however they want.

When a fraction represents a region, one of these statements is NOT a way for the fraction 3/5 to be interpreted:

Three of the five shapes are squares in which there are three squares of different sizes and 2 triangles of different sizes.

Among the techniques that are often successful with students who function at a low level cognitively are the following:

Use more developmental activities; organize material into smaller, more manageable units; simplify vocabulary or provide vocabulary aids; and when appropriate, allow work to be completed with a partner

According to research on child development, One of these statements is incorrect regarding pre-kindergarten and kindergarten children. Select the incorrect statement

Very young children do not have previously learned concepts and skills to build upon.

The Big Idea of Volume is: When we have a figure for which there is no area formula,

We rearrange the shape to get a figure for which we have a volume formula

The Big Idea of Area is:

When we have a figure for which there is no area formula, We rearrange the shape to get a figure for which we have an area formula

What kind of questions should you avoid using as a classroom teachers?

Yes/no questions, questions with an obvious answer, questions that require only one or two word answers

The math lab approach aka the laboratory approach is...

a developmental activity

A key factor in the selection of instructional activities is:

a high level of involvement in purposeful activities, that you can easily adapt

The Best Practice teaching structure is the perfect embodiment of the gradual release of responsibility

classroom workshops

When two geometric shapes have the same exact size and shape, this relates to the geometry Big Idea of:

congruence

Double planning is to:

plan what teacher will do and what the children will do thorough out the lesson

Identify the types of questions you need to prepare to encourage learning and mathematical thinking:

questions that help students grasp mathematical truths, questions that build on the information discussed that help students apply what they have learned to their own lives, questions that help children to think aboterm-36ut and ponder mathematics, questions that help students discover new information, questions that help student discover a deeper level of understanding, questions that help students understand a mathematical principle.

The standard way to read the number "634" is:

six hundred thirty-four

Identify the Big Ideas of problem solving strategies that will help children learn to solve complex problems

solve part of the problem, use a picture or a diagram separate the problem into easier parts work backwards

One of the key ideas relate to the measurement of length: When a length is communicated, the number is meaningless without the

unit

The second of the key ideas relate to the measurement of length: The number of units depends on the size of the

unit

The primary criterion for judging an instructional activity should be

what are the pupils learning during the activity