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What if this happened?
What caused this?
How is this like?
How many other ways could someone look at this?
What do you think is the end of the story?

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Say decimal correctly when we are reading and saying decimals in forms that support students' understanding and students can links to fraction numerations. We need to avoid to say point.

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Gift Student.
Enrichment, content and process, product, classroom environment to challenge themselves, assessment with higher expectations with the rubric.
Special intervention
Non Getting the Lesson.
work one by one with student
Uses tailored instruction based on specific areas of weakness. Modified instructional methods, motivates students and adapts curricula.
Comprehensive Child Support

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G= goal
R= Role
A= Audience
S=Situation
P= Product
S=Standard

Encourage student reasoning and thinking.
Opportunities to use mathematic process and practices.
Generate data for decision making.

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Conceptual misunderstandings are ideas about what one thinks they understand based on their personal experiences or what they may have heard. One does not fully grasp the concept and understand it.
Fraction tiles and fraction circles can be used to help students visualize and conceptually understand many fraction concepts. These manipulatives represent 1 whole, 1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/10, and 1/12.

Computational understanding
using contextual task, exploring each operation with a variety of models, estimation and invented methods, address challenges, common errors, and misconceptions. For example the distributive property is a computational fraction method.

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"A lack of emphasis on algebraic thinking and connecting algebra to manful content results in the development of various challenges and misconceptions." (Walle, 2019)
The repeating patterns are those patterns that have a core that repeats, and they are everywhere.
Base ten block are an example of manipulative tool for algebraic reasoning.

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Building a lot of Connection to students can recall the information. Color Chart helps.
Illusion of understanding is when children seems they know, but they are just repeating something that they just memorize but they don't understand .

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 Assessment Types Using Diagnostic Interviews 

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 Assessment Types Using Diagnostic Interviews 

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How? It is selected an assessment task, ask question, document student explanation, collect written words, and avoid teaching.
why?
This are used to understand students Math thinking.
An example is to have a list of question to ask the student while they are working in the assessment.
What you solve this way?
Why you choose to solve in the way?

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PNLs stand for Personal Learning Network. it is informal learning network.
It is important  to share what we know, support students, easy to access, learn from other.
for example we can create in Twitter with a phone number or a email once you create it we can click the professional we will like to follow.
The professional I follow is Peter Reynold , He is children book writer. He said this week " "Middle school students can not only learn animation, but can get certified as an animator! @fablelearn

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One  technology tool that I can use can be PollEv, I can write a serious of question of specific theme and let the students  to answer. This will be a helpful tool to observe student comprehension of the lesson.
I can ask , How much they understand the class? answer number one if they understand number two they don't know or number three they don't.
A game about ratio, if there are eight apple and three lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to three?

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Is not too be fast
is about flexibility fast and accurate.

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Technological Pedagocial and Content Knowlegde

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Technological Pedagocial and Content Knowlegde

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Total package

-Technology
-Pedagogical
-Content

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This will help us in many ways in brainstorm or find tunes of our ideas.

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A ratio is number that realties two quantities or measures within a given situation in a multiplicative relationship.
2:3
A ratio is a statement of how two numbers compare. It is a comparison of the size of one number to the size of another number.

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We don't need to use calculator when we have to calculate a percentage discount in an item.
in $69.99 take 40% off
Multiply 7x4 =28

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3 Types of activities to build Math Fluency

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3 Types of activities to build Math Fluency

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Build Number Sense
Estimate
How visuals are relate
Story Problems
craft your own
Games

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Respond to Intervention
Consist in three level of students
Tier 1 mostly all students
Tier 2 yellow students
Tier 3 students who had problems.
We can support student making sure the ones are struggling get the right help.

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Focus in strength then weakness.

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We can use a tangram puzzle to manipulate numbers in our brains. This is used to find equal but non-congruent areas that have equivalent representations in terms of fourths, eights, and sixteenths.
Great visual way to do fractions.

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Some ideas to motivate students can be to create student center classrooms assessments, let student to make own decisions, work individually with students, encourage student to monitor own progress. Monitor mistake, identify own learning style, do a self reflection.
The use of a rubric, the use of graphic organizer, and do achievement goals.

Two forms of self assessment oral reflection, thumbs up and thumbs down if they understand the class and exit ticket.

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The goal of formative assessment is to monitor student learning to provide ongoing feedback that can be used by instructors to improve their teaching and by students to improve their learning.
The goal of summative assessment is to evaluate student learning at the end of an instructional unit.

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GRASP Is a way to look in detail a lesson plan. making sure the student can reach the goals, understand what their roles are and who will be the audience. what can be the problem and what will be the result. All this points are necessary for an easy going assignment preparation for  all students.