Mathematics Mentor App

The technology that I plan to use in my classroom to help implement the CCSSM is an app called Mathematics Mentor.  This app doesn’t specifically say that it is for the CCSSM, but it can be used as a quick supplement for them.  The topics that this app focuses on are algebraic division/ synthetic division, area of a triangle with trig, exponents, square roots, geometric progression, and the remainder theorem. With all of the pacing guides and time limits that teachers are faced with each year, I found that this app would be great for teachers who want a good but quick assessment on these specific topics.

Mathematics Mentor does not only provide quick references and notes, but also a quick 5 question quiz at the end to assess a student’s progress on the topic.  During the quiz, students are able to return the reference sheets for help without losing their place in the quiz.  In addition, the app corrects the quiz for you which is great for teachers who don’t have time to correct additional items.  Also, it allows students to correct their work until they have all of them correct.

This app is free for both Apple and Google users.  The main drawback to this app is that you must learn the correct syntax for entering the answers on the quizzes.  One additional drawback is this app only allows the “Get Question Paper” feature to work for Apple users and not Google users.  It would be nice if it worked for both because it allows the user to get additional practice sheets sent to their email for later use.

Below is a link to this post with screen shots of this app from iTunes.

Technology for CCSSM

~Lisa~

Factoring Quadratics:CCSSM-ASSE3a

Attached is a copy of my learning  progression for CCSSM #A-SSE.B.3a with all of the visuals that would not display in the first post.    This learning progression pertains to factoring quadratics.  Benchmark & classroom assessments are also included.   I plan to use the classroom assessment as a quiz near the end of this learning progression as a prep for the benchmark assessment which will be used as a conclusion to the learning progression.  The way that I plan to communicate this learning progression with my school would be to post it on the district server for the school.  This way, any teacher who wanted to use it at Davis would have access to it.  This learning progression fit in perfectly with chapter 10 in the Carnegie Algebra 1 book.  So, those who are teaching Carnegie Algebra 1 will be able to use it if they want to.  This learning progression fits in with testing in the manner that it prepares them for factoring related question on the test.  (The Learning Progression was revised on 7-31-13)

 

Learning Progression for CCSSM # A-SSE.3a (HW#1)

CCSSM-ASSE3a Benchmark Assessment

Classroom Assessment-Factoring Quadratics

Using Videos in the Classroom

By Lisa

When considering the benefits of using videos as part of the math curriculum, there are many ways that they can be used in and outside of the classroom and still be educational.  The way that I plan to use videos as part of my curriculum this year is to post videos on edublogs as an extra credit assignment for those who want to earn extra credit.  Although using videos for classroom work would be great, I will not be able to use them more extensively in the classroom simply because of the time constraints that we have as teachers.  In addition, another reason that I will not be assigning videos for my students to watch as homework or to require them to create one on their own is simply that many of my students do not have a computer at home or have access to the equipment that they will need to be successful without allowing them to have a considerable amount of time to complete it.  However, when the remodeling is complete at Davis, it is my understanding that every student will have tablets to use and will have access to video assignments whenever they are given.  This will be great because I then will have more opportunities to incorporate educational videos in my curriculum when possible.

In order to get the videos viewable that I plan on using for extra credit assignments with my students, I will video the assignments with my tablet and email them to myself so that I will have access to them on my computer.  Next, I will upload the videos to the classroom blog called “Math Stuff” on edublogs where only my students will have access to them at their convenience.  In addition to creating a video on my tablet for extra credit assignments, I will post links to videos on the classroom blog that my students will need to watch as part of future extra credit assignments.  As of now, it is my plan to use these methods every week to help encourage my students to become more familiar with using videos and blogs in the math classroom.

In conclusion, there are many programs and websites that can be used to create and watch videos for educational purposes, but for my purposes, I plan to use edublogs as my main destination for video postings this year.

http://edublogs.org/

Extra Credit 1

Algebra Domain

Teaching Standards Washington State – Secondary Mathematics

Preparation for teaching the common core state standards – Mathematics 5-12

 

Algebra Domain

 

Overview

Mathematics teacher candidates must be able to express computations in general terms abstracting from specific instances. They must be able to read mathematical expressions with comprehension and analyze its underlying structure. They also have to be able to write an equivalent expression to exhibit a different aspect of its meaning. Algebraic manipulation involves the properties of operations and exponents and algebraic notation. Teacher candidates have to be able to also use technology to experiment with algebraic expressions and to understand how algebraic expressions behave.

Connections to Function and Modeling.

Functions are defined by algebraic expressions and different expression can represent the same function. Questions on how two functions behave leads to an equation; by graphing two functions it helps us on finding an estimation of the solution for the equation. Writing equations, inequalities, or systems from verbal descriptions, is an essential skill for mathematical modeling.

Learning Targets (Indicators)

Teacher candidates will be able to:

  • Interpret the structures of expressions.
  • Solve problems by writing algebraic expressions in equivalent forms.
  • Perform arithmetic with polynomial and rational expressions.
  • Create equations to describe number relationships.
  • To solve equations, systems of equations, inequalities, and to explain the reasoning behind them.
  • To represent and graph equations, systems of equations, and inequalities.
  • To use technology to represent expressions and to investigate their behavior with change.
  • Explain the history and cultural implications of algebra in the modern world.

~ Laura & Lisa ~

 

The Allen Math TestBank App For iPads

By Lisa

When considering how beneficial iPads could be in the classroom, I can say that I think it would be great to be able to use them with students since students tend to be more attentive when they get to use the newest types of equipment in technology.  However, to ensure that the students are using the iPads appropriately, the teacher must make sure the iPads have appropriate apps installed on them.  For my case, the apps that I would need for my classroom must be math related.  For example, a few of the apps that my students would need on their iPads for my classes would include scientific calculators, graphing calculators, math formula sheets, and unit converters.  In addition to the apps just mentioned, Apple provides a wide selection of free apps that are very educational and beneficial in the classroom as well.  With this in mind, there are also some paid apps that can be very beneficial to the educational process also.

The app that I have found to like the best at this point is an app called Allen TestBank Questions.  Once it is installed on the iPad, its icon is labeled as Allen Math Guru.  This app is a paid app, but it is great for teachers who want to get their students ready for their state’s tests.  This app was created to align with the WASL test for the state of Washington, which means that the question quality is great for prepping students for current and future state exams.

The main reasons that I like this app are because it contains 1,521 questions that cover more than 50 math topics/subjects and can be used offline without Wi-Fi access.  The main use of this app is for testing or test prepping, which is great because a teacher can load the app on a classroom set of iPads and have the students testing on the same or different types of questions all at the same time to help meet each student’s mathematical needs.  In addition, this app records the scores and keeps them until the teacher resets them back to zero to be used by the next class.  This means, that when students get low scores on their tests, they can’t just close the app and think that their score will disappear.  Also, when low scores do happen, the teacher has the option of having the student retake the entire test, or retake only the missed questions.  Another great feature of this app is that when a student does miss a question, it provides the student with an explanation of what they did wrong and how they can solve a problem like this next time.  This specific type of feedback that is provided for the students is great because it can help clear-up any misconceptions that they may have and help them achieve higher scores when they do take a state exam.

In conclusion, I believe that using an iPad with this specific app in a classroom setting would be great because it allows the students to have a more individualized learning and testing experience.

 

Venn Diagrams

By Lisa

I plan to increase my effectiveness as a teacher through technology by using an interactive Venn diagram activity (located at the web address below) periodically throughout the year in my Algebra classes as a vocabulary builder, as a math reminder/enhancer, and as a stepping stone for next level of my students’ mathematical future.  Through the use of this Venn diagram activity, my students should be more capable of using and understanding the mathematical content that they will be taught.

The type of students that I teach range from grades 9th to 12th, and they are considered to be remedial students with different ethnic backgrounds.  Some of these students are repeating this class for either the first or second time.  Their skill levels are varied as well as their behaviors.  Some of these students are in my class because they do have low skill levels, while others are in my class because they have behavior issues.  So, it is accurate to say that my students are varied in many ways.

As mentioned above, I will be using interactive Venn diagrams to help enhance my students’ mathematical knowledge.  The specific way that I plan to use this interactive activity in my classroom will be as an opener on the first day of school and throughout the first week as a class entry task.  The main purpose of this activity is to not only allow the students to show me what they now about mathematical vocabulary, number classifications, and polygons, but also to let the students discover what they know as well.  By using Venn diagrams in preference to a different form of technology, the students will be able to receive a much clearer and deeper understanding of the topic in question since these Venn diagrams compare up to three things at once.

The main way that I plan to support this technology based activity is to use the students’ scores that were provided by this program as a building block for the lessons that will be taught each day.  For example, after reviewing the scores for each class, I will review/revisit the most commonly missed topics with the class.  First, I will give a basic review for some lower level concepts.  Next, I will ask students to come up to the board and do examples in front of the class.  It is also important to mention that during this review and class activity, the students will be expected and required to take notes on the material for future use.

When considering how this interactive computer generated activity will help and enhance the specific Algebra lessons that will taught this year, it is safe to say that it directly relates to the first few lessons in chapter 1 of the computer portion of the Carnegie curriculum and various others.  To be more specific, the few computer lessons require the students to classify numbers in various ways, much like the Venn diagram activity.  By allowing time for the students to work with the Venn diagram activity before beginning their computer lessons, they should be better prepared to be successful at completing their lessons with commendable scores.

In conclusion, by using the interactive Venn diagram computer activity as a precursor to a lesson, the students should gain a deeper understanding of their needed/required math vocabulary and therefore become more successful at mastering their required skills.

http://www.shodor.org/interactivate/activities/VennDiagrams/