Brittany Arnold

Dr. Mueller

Psychology 205

February 14, 2011

 

                                                                       Evaluation of Percents and Whole Lesson

 

            There are various lesson plans created every day by instructors and various lesson plans posted as templates for other instructors to view and use as a structure in their classrooms.  Not every lesson plan is structured in a manner for effective learning and teaching.  Both Piaget and Vygotsky would recommend having a plan that promotes active learning and not just lecturing on the material the entire time.

BooksThis website called Teacher's Network offers lesson plans for new instructors.  I read one lesson plan for teaching percents and wholes.  The lesson plan, as a whole, I believe to be very effective for learning and teaching.  However, there are many different components that are used in creating a lesson plan.  These components act as an outline for the lesson plan.  These components also need to be effective when creating a lesson plan. 

            For the first part of the lesson plan the instructor conducts a mini-lesson.  With this mini-lesson the teacher is supposed to have a grid on chart paper.  The students then answer questions about squares on the grid.  This grid is acting as a visual for the students.  Allowing them to see a visual will help them to connect the concept of percents and wholes to other situations and will allow for better storage and retrieval.  The instructor is also going through each step to make sure the students understand each step and guiding them toward the correct fraction.  The students have learned fractions before so they are going back and reviewing this information.  Since they have already learned fractions the instructor is successfully teaching just beyond the student's zone of proximal development.  They are capable of learning about percents because they have learned about similar topics but have yet to learn about the percents.  Teaching just beyond their zone of proximal development is good in this instance because if the instructor were to try and teach fractions, decimals, and percents all at once the students would not be able to process the information because it would be beyond their present level of capacity.

            The instructor then has the students prepare a paper chart with four columns on it.  Each column represents a different step to take in order to find percentages.  Each step is something they already know how to do.  This allows the students to elaborate by connecting how to find a percentage to other information they have already learned (like fractions and decimals).  Creating this association will help the students to properly store the information by connecting it to existing schemas they have for math concepts.  This chart is also acting as scaffolding for the students.  Instead of just telling them right away how to figure out a percentage the instructor is giving them steps as a guideline on how to figure out percentages.  Organizing the way to find a percentage will help the students when they approach these problems later on their own.  They will be able to go through the checklist of steps on how to find a percentage.  Once they become comfortable with the concept they will take away this scaffolding.  They then will have internalized the steps to finding a percentage, and when it has been internalized they have successfully stored it in their long term memory.  We know it is stored there because they no longer need a set of steps to remember what to do; they can self-regulate how to find a percentage.

            Following creating the charts the instructor asks the students a second question.  This time the instructor allows the students to use the scaffolding taught to answer the question on their own.  This allows them a chance to actively attempt the problem and take more independence in the steps to solving the problem.  The instructor is allowing them to do the task on their own.  Doing the task on their own provides rehearsal of the steps and information.  This will then lead to better transferring of information in the memory.

            After they have attempted another question the instructor has the students create their own question about the squares and percentages.  They then have to answer their own question.  This is good because the students are creating their own examples.  By creating their own examples they are making the connections with the concepts stronger in their brain.  This will allow for better retrieval of the information at a later time.  It allows for better retrieval because the brain likes examples of information to help better elaborate on what it is trying to store.

            The class then goes through more examples, which as mentioned before allows for rehearsal of the information.  After the class goes through the extra examples the instructor has the class break up into pairs.  Having the students break up into different pairs does take away some of the control from the instructor, but I believe if the instructor is walking around and keeping an eye out on each of the pairs the lesson is worth the slight loss of control.  The students then have to create different examples and then share them with their partner and have their partner try and figure out the answers.  Having the students break off into pairs is a beneficial activity to have in the classroom.  This allows for peer modeling to occur.  The children are able to observe how their Partner Workpeer performs the task and how they may figure out the answers.  This allows the students to create new and different ways of seeing the information, which will help prevent not being able to retrieve the information at a later time.  Observing each other is also a good thing in the classroom because the children will be able to help each other out and will be able to build off of each other.  If one student in the partnership is struggling the other will be able to help them to better understand the problem.  This raises the self-efficacy of the student having the problems because their peer is similar to them and they can better relate.  Also, this will help raise the self-efficacy of the student who is helping because they realize they understand the information much better than they had originally assumed.  Not only is this partner work good for modeling but it is also good because the students are creating their own examples and having to figure out each other's examples.  This, once again, is helping them to attach associations by creating examples.  Having them do so in a partner setting, however, makes the examples more fun.  By making them more fun they are more likely to create stronger associations.  These stronger associations create stronger elaboration for storage in their memory.  

            After the partner work has been finished the class as a whole goes through a summary of what they have learned that day.  This will allow the students to review the key concepts of the topic.  Maintenance of the key concepts allows again for the students to help connect them to schemas in the student's long term memory.  By repeating what they have learned they are allowing the information to be consolidated in the brain.  If the instructor were not to do this maintenance and just move onto a new topic right after teaching this topic the student would not have time to fully and permanently plant the information into their memory and they would not be able to retrieve the information later because it would have never been stored.

            Following the summary the instructor has the students write out a journal prompt relating to what they just learned.  This allows the students to analyze a problem and put the answer into their own words.  By putting the information they have just learned into their own words they are organizing the information into a way that makes sense for them.  The brain likes when you put information into your own words.  Therefore, when you put information into your own words the brain will be more likely to store the information.  Organizing this information into their own words allows them to know they understand the information and can raise their self-efficacy on this topic.  They also are seeing the information they just learned put into a real life example.  By doing so they are able to create connections to real world examples.  The students may be able to think of the example as being personal because of how they performed on a test before.  This once again creates a deep elaboration for the information.  They are giving a meaning to the information they learned.  Putting it into their own words also will help when they try and retrieve the information later because the connections to the different schemas for the different concepts will be much stronger. 

            At the end of the lesson the instructor then assigns homework for the students.  Instead of giving a bunch of boring problems the instructor is giving the students a fun problem to connect the information they learned to the real world.  The students are to think of a problem where they would use the information they learned that day in the real world.  This is a very good practice.  They are connecting the information they learned to the real world and seeing its importance.  By doing so there is an intrinsic motivation to learn the material and practice it because the students see how it is important to everyday life.  This also creates a relevant example which is the best way to elaborate and store the information.  Creating a real world example will also allow the student to attach meaning to the information. 

            Overall the lesson plan I analyzed is an extremely well planned lesson.  The plan is very consistent with what research has shown to be effective with human development and learning.  The instructor allows throughout the lesson many different ways and styles to learning.  They also allow for many different types of examples and ways at looking at the information which will help to create the strongest connections with existing schemas.  There is one thing I would, however, recommend adding to the lesson plan.  I would recommend adding some operant conditioning ideas into the lesson.  This could be important to ensure all of the students are staying involved.  The instructor can incorporate positive reinforcement when students participate to encourage participation in the class as a whole.  By providing positive reinforcement the other students will want to get involved because they would want to receive the consequence as well.  The instructor does not need to implement operant conditioning into this lesson plan if they would rather not, because I think overall it is very well planned, however, I think it would add even more to the plan's success.

 

 Percents and Wholes Lesson Plan