Frequent addition and subtraction situations - Problem Solving

I would like to share with all of you a table with frequent addition and subtraction model situations that second and third grade teachers are using with the students for problem solving. It is important that our students be exposed to the comparative language in Math as well as they need to understand the meaning and how the vocabulary is related with the operation used depending also of the context situation. I am not saying that we need to teach key words. It is a great pedagogy mistake and it does not help the students to develop their thinking skills.
Me gustaría compartir con todos ustedes una tabla con situaciones frecuentes de modelos de suma y resta que los maestros de segundo y tercer grado están usando con los estudiantes para resolver problemas. Es importante que nuestros estudiantes estén expuestos al lenguaje comparativo en matemáticas, así como también que entiendan el significado y cómo se relaciona el vocabulario con la operación utilizada, dependiendo también de la situación del contexto. No digo que tengamos que enseñar palabras claves. Es un gran error pedagogco y no ayuda a los estudiantes a desarrollar sus habilidades de pensamiento.

	Result Unknown	Change Unknown	Start Unknown
Add	Last year, Mrs. Rojas bought 235 math books. This year she buys 548 more books. How many math books does she have now?                235 + 548 = ?	Last year, Mrs. Rojas bought 235 math books. This year she bought some more. She now has 783 math books. How many books did she buy this year?                235 + ? = 783	Last year, Mrs. Rojas bought math books. This year she buys 548 more books. She now has 783 math books.  How many books did she buy last year?     ?   + 548 = 783
Take Away	520 pencils were in a box. I used  128 pencils. How many pencils are in the box now?            520 – 128 = ?	520 pencils were in a box. I used some pencils. Then there were 392 pencils. How many pencils did I use?                      520 - ? = 392	Some pencils were in a box. I used 128 pencils. Then there were 392 pencils. How many pencils were in the box?                        ? – 128 = 3 92
	Total Unknown	Addend Unknown	Both Addends Unknown
Put Together / Take Apart	120 third graders and 103 second graders are in the cafeteria. How many students are in the cafeteria?          120 + 103 = ?	223 students are in the cafeteria. 120 are third graders and the rest are second graders. How many students are second graders?    120 + ? = 223 ,   223 – 120 = ?	There are 223 students in the cafeteria. How many students can be second graders and how many can be third graders?     Variety of answers       120 + 103 = 223       100 + 123 = 223 , etc
	Difference Unknown	Bigger Unknown	Smaller Unknown
Compare	How many more version Luis has 345 soccer cards. Kenneth has 544 soccer cards. How many more soccer cards does Kenneth  have than Luis? How many fewer version Luis has 345 soccer cards. Kenneth has 544 soccer cards. How many fewer soccer cards does Luis have than Kenneth? 345 + ? = 544       ,     544 – 345 = ?	Version with more Kenneth has 199 more soccer cards than Luis. Luis has 345 soccer cards. How many soccer cards does Kenneth have? Version with fewer Luis has 199 fewer soccer cards than Kenneth. Luis has 345 soccer cards. How many soccer cards does Kenneth have? 345 + 199 = ?   ,    199 + 345 = ?	Version with more Kenneth has 199 more soccer cards than Luis. Kenneth has 544 soccer cards. How many soccer cards does Luis have? Version with fewer Luis has 199 fewer soccer cards than Kenneth. Kenneth has 544 soccer cards. How many soccer cards does Luis have? 544 -199 = ?      ,   ? + 199 =544

Just visualize

La Aritmética como principio fundamental del éxito de los estudiantes en el área de Matemáticas

La matemática es una ciencia exacta cuyo estudio se divide en subareas interdependientes que deben aprenderse y entenderse como áreas separadas del gran sistema de las matemáticas. Aritmética, geometría, algebra, calculo, análisis matemático, probabilidad y estadística, topología.

¿Que es la Aritmética?

La aritmética estudia la estructura de los conjuntos numéricos y sus operaciones.

En los primeros grados de escuela cuando hablamos del sentido numérico y operaciones esperamos que los niños logren entender conceptos como contar objetos, la representación gráfica de un número, la correspondencia uno a uno, el concepto de cantidad, la relación existente entre números,  símbolos que representan cantidad, las diferentes maneras de representar números. Con la enseñanza equivocada de estos conceptos que son bastantes difusivos para el niño debido  a su inmadurez académica, tenemos niños en grados intermedios con  gran habilidad para recitar números y hacer conteos uno a uno hacia adelante y hacia atrás , pero sin embargo sin idea clara de la relación entre números, lo cual le acarreara en los siguientes grados muchos problemas en la articulación de la aritmética, cuando tenga que resolver patrones aritméticos o geométricos y peor aun cuando se enfrente a raciocinios mayores en pre-algebra y algebra. 

Dear 3rd, 4th, and 5th teachers, it is the video that I wanted to use for "differentiated math using work stations" training. 

Illuminations: Ten Frame

Illuminations: Ten Frame

It is amazing to use with our kindergarten and first grade students to increase their understanding of the number sense. Our students could use it as a workstation.

11.Reflections

One of my favorites and useful tools is Google Doc. I used it this summer with a Go Green at TFE project and it facilitated and supported my work with the teachers and summer coordinator, Also, in this new role as a I- Coach this tool will continue supporting my work with the HBE staff, parents, students, and another I-Coaches.

Now, I have more clearly thoughts in how to incorporate technology in the process learning. the 11 tools was an amazing online experience to increase my knowledge in using them and the  technology devices to support the student academic achievement. Through this new school year I will go back to check the tools to maximize the use of them.

I was  surprised of the ton of  tools that we can use and the time consumed exploring them (I will need more time ) to be master in the use of them. However, now I feel more confident and knowledgeable about what kind of tools and which devices to integrate in the lessons plan or staff development. 

10. Digital Citizenship

I want to make sure that the students understand Digital  Literacy, understanding the process of teaching technology and learning about technology and how to use it. Digital Communication, understanding how to make appropiate decisions when using the communication devices and what kind of information must not share with anyone online.Self-protection,understanding electronic precautions to guarantee safety with a purpose.

One of the resources to use instructionally with the young kids is cCyber(Smart). It gives a lot of essencial tips to be a good digital citizenship. Also, BrainPop is really good to teach any subject, it supports the students learning using a lot of real world applications to facilitate the comprehension of the topic taught and brings a fast quiz to check the students understanding.

I want to teach my students that digital citizenship is more than learning  tools, it is about how to use technology appropiate to have the oppotunity to create relationship online collaborating with other students around the world in school projects in productive and safety environment.

I plan to share the idea of digital citizenship with the parents first giving them  a KWL Chart. After that I would like to introduce the iSAFE site showing them the most relevant information trying to respoinse the questions regarding what they want to learn. At the ending, they  will have 10 minutes more to explore the web page and compare what they new before of  the presentation and what they know after of the presentation.. 

9. Classroom-Based devices as tools for learning

Before to incorporate technology in our lesson, we need to know what we want the students to learn (Content Objective). Also, if we are working with ELL students we need to know how the content will be comprehensible  to them while developing academic language skills (Language Objective). Therefore, if we do not tie the technology with the objective, it will be used as a entertainment instead as a learning tool.

The accountability piece is very important in the learning process with or without use of technology. During workstations or centers the students should ask to show what they learned. The students need to have clear expectations from the teacher about why they are using the tools assigned  in the workstations, how they should use them, and what is the final product that they need to create to show what they learned. This helps students to be focused in their task assigned and avoid bad  behaivior problems during the stations/centers time.

I liked the most  Thinkinity and Studyladder, both provided with a lot of interactive resources for math, science, vocabulary, spelling, social studies, reading, etc. To hold students accountable is important the students understand the objective, purpose and expectations to use this resources. The teacher should differentiate the task according with the students needs in order to help them to be academic succesful.

Also, for center we can use Diigo offline reader, First of all the teacher needs to create an account. The teacher can select a piece of reading according with the lesson. After reading, the students should complete a graphic organizer gave by the teachers or use their reading journal to answer comprehension questions, summarize, write main ideas and supporting details, or just paraphrase the reading.
 In Math, for  Addition/ Multiplication Math Facts, the students can use DiaMath instead to use the traditionally worksheets. You can decide to use iPod or iPad for these stations.

8. Look at the tools

Everyone is exciting about the new way to teach. The district expects that each teacher use the new devices in the classroom. For that purpose, the teacher needs to have iTunes account to develop materials as a part of the instruction engaging student's learning through of use of the iPod touch / iPad in centers or projects I think that at this point most of the students are familiar with the use of Dell 2120 netbook which is smaller than the lacktop but has the same functionality.

The teacher needs to monitor what apps the students are using to ensure the good use of them, Also, is important to create guidelines and procedures to know exactly the expectations for the classroom use. As a part of the procedure one student could be responsible for set up and pick up the devices. Those students could be rotated every week. Please be sure that the  student/Parent signed and returned SBISD AUP before to use them. 

7. Online digital projects

Content Objective
 Using research resources, TSW describe Native Indian groups who lived in the Coastal Plains region of Texas before European exploration and describe the region in which they lived.
Implementation
We are going to implement the plan at the last week of November.
Tools to use:
Google Doc will be useful for the 4th grade classrooms to share ideas.  online documents, and videos to support their final report. Also, they will use xtranormal to create their own movie. 
Description:
This is a 4th grade project The main  purpose of it is learning  about native american in Texas and their environment using LA/Social Studies integration with technology. Each class would create their own rubric to see what are the expectations. At least once a week the classes will use Edmodo to get and give feedbacks, ideas and generate academic discussions regarding to the topic researched. Together they will use Google Doc to share the final product.

6.Using Web tools

Edmodo: A guide to Explain it All
I  was exploring this network and when I create groups the system automatically generates a password which I can  give to the people who will conform the group avoiding the creation of new accounts for each member. It facilitates the use of it for our students too.
Another good resource is Voice thread, full presence conversation.I think it will be helpful creating tutorials for teachers and students (work stations/ learning and bilingual centers).

5.Web 2.0 tools

Xtranormal is a movie creator and animoto is a video clip. .I created this short movie to introduce the habitat concept in the science lesson. At the end of the lesson the students will crate their own movie using science content. Their work will be guided by questions giving for the teacher which must be planned and focused in the lesson objective  to ensure the quality of content in the movie and the learning. The students can share their final product throughout Google Apps. Their work will be assessing using a rubric pre-elaborated for the teacher with the students. Using this tool the students will be engage in their learning process in a fun activity and the teacher can see how deep their  learning is.

4.Moving Up with Google Apps

Google Apps gives me the opportunity to share, publish, and collaborate documents, videos,and formats with my team or my students. When I  invite teachers or students as editors, they can collaborate me in the real time making comments, adjusts or modifications to my documents.

 Google Docs is one of the most useful tools in the classroom before, during and after the instruction. For example in the writing  process, the students can work in their first draft from home,   during class they can collaborate each to another in the review and edit steps sharing their writing composition to give new ideas and make grammar and spelling corrections, at the same time they receive feedback from their classmates and teacher avoiding worksheets and copies. Finally, the students can make the last change to their writing before to publish and save it in  their writing portfolio.   

3. Embedding videos

It took me a lot of time to embed the video code into my blog because I had trouble with google chrome. However,  I am happy because I feel more confident about my 11 tool learning. 

Personal Learning

One of the things that will help us to be success in this new educational network initiative is that everyone changes their mentality from old ways to teach to the new technology approaches in education.
I know that for some reason is not comfortable express our ideas in public, but this is something that needs to be changed too.

More about math and technology

ITechnology and Math