sábado, 30 de enero de 2016

Formative Assessments in Kindergarten

As a teacher in kindergarten, I consider that is very important to include formative assessments in the lessons to check the students understanding, especially before the students start their independent work. In this blog I am going to share some examples of formative assessment in a math lesson in kindergarten.


The objective of the lesson is: 

Students will be able to identify the total in an addition problem using their fingers.

Picture by: http://www.special-and-determined.com/


Formatives assessments:
  1. Ask the students to show with their fingers the total of an addition problem. This formative assessments could be implemented at the beginning of the explanation to check the previous knowledge of the students. The teacher can observe the students responds to introduce the topic. Also, the teacher can observe if he need use more time in the explanation because the majority of the students had difficulties to use their fingers to solve the problem.
  2. After the explanation, the teacher can invite the students to solve some addition problems using their fingers with a partner and record the results in a small white board. This formative assessment help the teacher to check the understanding of the students. When the students finish, the teacher invite some students to share the results and explain the process to obtain it. The teacher can observe the students work and re-teach some concepts if it is necessary. Also, the teacher can observe if the students are ready to work independently.
  3. During the independent work the teacher could use the observation of student’s work as a formative assessment. The teacher could have a class list while he/she observes the students and checks if the students reach the objectives. The information collected with this information is useful to plan next actions, for example create a small group to practice more or plan some activities to reinforce previous skills learned. 

domingo, 24 de enero de 2016

Understanding and Applying Standards

The initial preparation of our class lessons can be a journey in which we do not know where to begin. For this reason, we need to get familiarized with specific terminology such as the words: standards, unpacking standards, backwards mapping and objectives to make our journey of planning easier. Also, it is important to realize that each lesson that we plan is not independent from other lessons, but there is a relationship between each lesson which aligns to achieve a final objective.


Teachers are expected to help students meet standards that are part of a curriculum created by a school, state, or national entity. In my case, I am a kindergarten teacher in the District of Columbia Public Schools and we follow the common core standards http://www.corestandards.org/. The first step in the planning process is to identify the standards for the grade and the teaching area I have been assigned to teach. For example, I would like to teach addition and subtraction in kindergarten, so one of the standards related to this is teaching students to “Represent addition and subtraction with objects, fingers, mental images, drawings, sounds, acting out situations, verbal explanations, expressions, or equations.”

Picture by: http://www.corestandards.org/ 

Once you identify the standards, next is to translate them into lessons, which is the process of unpacking standards. This concept assist teachers in the planning of lessons and identifying strategies that address the standard. Also, unpacking standards helps teachers to have clear understanding about what the standard actually means. This unpacking process requires you to identify what students need to know and what they need to do to demonstrate that they are meeting the standard. Initially, we can focus in the verbs of the standard, these help you to identify what students need to do to meet the standard. In the example of the addition and subtraction for kindergarten, the verb is to “represent”, so students need to represent addition and subtraction. Moreover, the nouns in the standard helps you know the content that students should be learning. Going back to the same example, the nouns make reference to the different strategies to add and subtract that students needs to learn such as how to use “objects, fingers, mental images, drawings, sounds, acting out situations, verbal explanations, expressions, or equations” to represent addition and subtraction.

After this deep understanding of the standard, we need to continue planning, and more specifically proceed to next step: backwards mapping. This approach of backwards mapping, which was designed by two educational experts Grant Wiggins and Jay McTighe, proposes to begin planning with what students should know and be able to do at the end of a lesson or unit. So, we begin stablishing what is the desired result, this could be the standard that students need to accomplish. Then, we determine how to know if students are meeting the goal or standard, the assessments.  Finally, we plan learning experiences or activities that will help students meet the goal or standard. In my opinion this approach helps you to clarify the route to follow in the planning and to include the crucial knowledge and skills to reach the standard. 

Picture by: http://library.gsu.edu/search-collections/lesson-plans/


After the process mentioned above, we proceed to the small part of the unit, the planning of the lesson. Now, it is time to define the objectives of the lesson, which are tied to the standard and should motivate student learning. The objectives identify what a student will be able to do as a result of our instruction, so these are focused in the students’ outcomes. When writing the objectives, it is very important to use a clear and adequate language taking into account the age of our students. Also, many teachers use the mnemonic acronym SMART as a guide for the design of the objectives. SMART refers to Specific, Measurable, Attainable, Relevant and Target to learner. Having strong objectives affect the quality of students’ work.  

sábado, 23 de enero de 2016

Math Standard and Backwards Mapping in Kindergarten


This blog post describes the backwards mapping for a math standard in kindergarten.


Established Goal: (Common Core Standard for Math in kindergarten CCSS.MATH.CONTENT.K.OA.A.1)

Represent addition and subtraction with objects, fingers, mental images, drawings, sounds, acting out situations, verbal explanations, expressions, or equations.

Understanding(s):

Students will…
  • Use addition and subtraction to solve problems in different ways.
  • Represent, relate, and operate on whole numbers, initially with sets of objects and eventually with actions and drawings.
  • Choose, combine, and apply effective strategies for working with numbers.
  • Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Essential Questions:
  • How can I find the total when I put two quantities together?
  • How can I find what is left over when I take one quantity away from another?
  • How can I represent and solve problems using objects, pictures, words and numbers?
  • How can I use models to represent addition and subtraction?
  • What happens when sets are joined or separated? 

Knowledge:

Students will know...
  • Quantities can be joined (put together; composed).
  • Quantities can be separated (taken apart; decomposed).
  • Composing quantities will give us more than we started with.
  • Decomposing quantities will give us less than we started with.
  • We can model joining and taking apart sets of objects by drawing pictures, using manipulatives, and acting it out.
  • Number models help us solve problems.

Skills:

Students will be able to...
  • Use manipulatives, drawings, and numerical expressions to represent addition.
  • Use manipulatives, drawings, and numerical expressions to represent subtraction.
  • Use numbers to represent quantities and to solve quantitative problems involving joining and separating situations with objects.
Assessments:

Formative: 

  1.  During the lesson, the teacher will present addition and subtraction problems for students to resolve in small whiteboards for each student. This formative assessment will help the teacher to check understanding of the students. 
  2. During the lesson, the teacher will present addition and subtraction problems for students to resolve in small whiteboards for each student. This formative assessment will help the teacher to check students' understanding. 
  3. During the independent work, the teacher will observe the student's work and will ask to some students about their work, for example using questions like “How do you find the result? Show me”. 

Summative:


Each lesson will include a worksheet for independent work of students. These worksheets will be aligned to the objective of each lesson. These will help the teacher to know the level of each student and prepare some modifications or interventions to help lower and higher level students.

At the end of the unit, students will take an assessment which include the following questions:

First part - Addition
1.     If I have two chips, how many chips do I need to complete 5?
2.     3+2= ___
3.     If I have six dots, how many do I need to complete 10?
4.     7+2=___
5.     Juan has 4 apples and Liz give him 3 apples more, how many apples does Juan have in total?
Second part - Subtraction
1.     If I have 4 chips and I take away 3, how many chips do I have left?
2.     4-2= ___
3.     If I have 9 chips and I take away 4, how many chips do I have left?
4.     8-4= ___

5.     Martin had 6 cookies and he ate 2 cookies, how many cookies have Martin now?

Learning Plan:

Activity 1: Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.


Activity 2: Find the missing number to complete 10 using a ten frame.

Picture by: https://www.teacherspayteachers.com

Activity 3: Using fingers to solve addition problems.  

Picture by: http://www.special-and-determined.com 

Activity 4: Add the dots in two dices and record the equation. 

Picture by: http://www.k12mathworksheets.com


By Jaime Solano 
KIndergarten Teacher 



domingo, 10 de enero de 2016

How to apply rules and procedures in classroom?

When we start the school year, we work with students to build the classroom rules, which will help us to guide the actions in the class. But immediately a question arises on how can we apply these rules and procedures in class? Consequences are the other side of rules and procedures (Marzano, 2007), these are the response when a student or students either follow or break the rules. Consequences can be positive or negative, a combination of both could be more effective rather than focusing in only spectrum. Rules and consequences should be established at the same time and are typically addressed routinely and frequently.

“If you break it, you fix it” is one of the consequence that I use in my classroom. For example, when a student disorganizes the class materials, the consequence is that s/he must organize them back. 


When the students are following rules and procedures it is important to give students a positive consequence that reinforces the action. One kind of reinforcement is the use of a verbal o non-verbal acknowledgement to students who follow the class’ norms or execute successfully a task. The acknowledgement could be provided in by expressing approval or another non-verbal gesture.

For example, students are working in groups and the teacher say “I noticed that X group is working quietly and all of the students are focused in his work”, the teacher’s message recognizes the work of a specific group of students while helping the rest of the students to remember the expected behavior at this moment.

Acknowledging a positive action that is taking place within a specific group in the classroom may help to send a signal to students who need to improve their behavior and are not following the norms, redirecting and motivating students towards accomplishing the expected task or procedure in order to also be noticed by the teacher in a positive manner.

Also, we can complement the verbal or non-verbal recognition with a tangible recognition. This consequence is appropriate when students are consistently following  the rules and it goes beyond a verbal reinforcement; therefore, a student or the students can receive a tangible incentive from the teacher. Some teachers use virtual platforms like www.classdojo.com, where students receive points when they follow the rules, so students who collect a certain number of points receive a material recognition of this accomplishment, for example a letter for the parents.

The “Sun” symbol is a form of tangible recognition that I use in my kindergarten class. When a student constantly follows the rules and procedures, his or her name are posted in a “Sun” in the whiteboard. A name of a student in the “Sun” symbolizes an acknowledgement to a student who follows the rules in the class and sets an example to other peers. If a student completes a week “in sun”, s/he receives a small incentive.

The acknowledgement of a good behavior can be extended to the parents if a student has received verbal and tangible recognition and continues demonstrating an exemplary behavior. Teachers can write a note, send an email or call the parents to inform and congratulate them for the student’s behavior.

As I mentioned before, consequences are both positive and negative. Teachers need to be aware of potential problems and quickly respond to those situations which are at the core of effective classroom management. Robert Marzano defines this type of approach by teachers as withitness. Some of the actions that constitute withitness are: be proactive about potential problems, occupying the entire room physically or visually, noticing potential problems as quickly as possible, and using a series of graduated actions (looking at the suspected students, moving in the direction of students and stopping the class and confronting the behavior.)

Inappropriate behavior requires an explicit and concrete consequence. There are multiple examples of this kind of consequences but I would like to focus in two: Time-out or break and overcorrection. Time-out is a space of time giving to a student to reflect in his or her actions and try to find solutions to improve the behavior. In elementary schools, as it is my case in kindergarten, some students require a break to calm down and reflect. For example, a student is constantly talking and distracting other students in her/his group, the teacher tries to redirect many times but the student continues talking, as a consequence, the teacher request the student to continue his/her work in a different space in the class. The overcorrection is other kind of explicit and concrete consequence that involves engaging students in activities that overcompensate for inappropriate behavior. For example, a student knocks down a box of pencils from another student, so the student that behave negatively must  offer an apology to his classmate and collect the pencils, leaving everything in order.

Another type of consequence for students breaking the rules is the use of group contingency that involves holding the whole class responsible for the behavior of any and all members of the class. I say to my kindergarten students “you are a community and as community you need to be responsible of your behavior and help other friends who need support”. I have a chart to collect points that the whole class receive when they follow the rules as a group, so within the group they need to help each other to follow the rules and change their behavior to avoid losing points as a class. Similarly to the group contingency, a teacher can use home contingency to involve parents. Home contingency involves meeting with parents with the purpose to agree on a specific course of action to improve negative behaviors that are to be stopped in class and the specific positive behaviors that are to be exhibited.

When a situation with the student is out of control, this situation is referred as high-intensity situations. Teachers should be able to contact the principal or assistant principal for help, but teachers need to be prepared to take some actions. The first step is to recognize that the student is so upset that he/she is probably out of control. Then the teacher should step back and calm down. After that, listen to the student and plan the next actions. When the student clams down, the teacher can communicates a simple request intended at diffusing the situation, a good idea is to go outside the classroom to talk.


Finally, the teacher should find an overall plan for improving disciplinary behavior. The information collected from the student about her/his behavior should be used to build the plan. The teacher could determine that the student needs more support and start a RTI (Response to Intervention) to build a collaborative plan of intervention.

Resource: Marzano, Robert J. The art and science of teaching: a comprehensive framework for effective instruction. Association for Supervision and Curriculum Development. Alexandria, Virginia USA. 2007