Author Archives: Cassidy Cash

Setting Academic Goals, and Being ok Changing them

As we are preparing for the Fall we are looking at what courses to take. Some students will be taking Algebra, and others will be starting Calculus. Still others will take something in between.

I focus on Algebra and Calculus because both of those courses typically represent a turning point for many students. Algebra is where students move from elementary arithmetic into applied math, with abstract thought, variables, constants, and true equations and expressions. Many students who struggle here do so because the transition to logical math is something of a leap. Not because students are not good at math, but because simply children’s brains develop at their own unique rate and while many kids are able to handle logical thought at around 14, I’ve seen several students who needed to wait until way after 14, while still others were masters at Algebra much younger.

The point here, though, is to realize that everyone goes at a different pace. I know as my 10 month old son is now starting to stand and say phrases, it is easy to compare him to other kids his age and wonder if he is ahead or behind other kids. Whenever there is a child that is doing something my son isn’t yet mastering I want to blame myself for not preparing him right, or be concerned that he has some developmental issue I need to fix. I can only assume that I will be this way when he starts school, and I know other parents are this way with their school-age kids, because they call and email me at the support line with their similar concerns.

My blanket advice (as far as math education–I’ll probably need to call some of you to ask about raising a boy!)  is to chill. If you start something like Algebra or Calculus and you are concerned that your students won’t be able to handle it, relax in the thought that we are homeschoolers. If you get a couple months into the curriculum and you can see that either a slower pace, faster pace, cooperative class, online class, study sessions, supplements, or different curriculum all together is what is called for, you have the freedom to change. You are never stuck with your choice, and you don’t always have to re-invest hundreds of dollars to buy a new set of math materials.

If you get into Algebra, for example, and you find that you need a slower pace, then go slower. You may not even have to follow the book at all. Find a concept in the book that your student needs to learn and bring it out of the textbook. Find a connection to something real and tangible, and do that day’s lesson only on that one thing. You don’t have to cover the whole lesson in one day just because that’s how some other kid did it. This is your kid, and you get to decide how to educate him/her. That’s why you signed up to be the homeschool parent. You signed up to be the educator, which means not only that you have to put in the extra work to supplement when that’s called for, but it also means you get to decide what constitutes a day’s lesson and you get to dictate what is acceptable for your student.

So don’t worry! You’re in control, and you can do it! And if you ever forget that you can handle it, call or email us, and we’ll be there to help and encourage you.

support@askdrcallahan.com

205.790.2617

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Teaching to the Test: This philosophy will bite you later

Many parents ask us about our curriculum and specifically our method of testing. They wonder at how we don’t teach our students to memorize formulas, nor do we drill them over and over on how to work the problems that will appear on the test.

We do ask our students to study the concepts that will be addressed on an exam, but the difference is just that: we focus on concepts.

The overall goal of any education is to learn. We want to be smarter at the end of things, knowing how to do something better than we did before because we went through an edcuational process to be more academically astute.

In the case of mathematics, we study math so that we can function in society as educated individuals, being able to accurately pump gas, buy groceries, build bridges, measure medication, and so on.

Yet, despite all these examples of how math will be essential to students once they leave their K-12 educational haven, parents are still approaching the teaching process as if memorizing and garnering an “A”, will be all their students need for their futures.

My apologies to all of the nice old ladies who taught me 5th, 6th, and 7th grade math, but I just can’t accept the memorization philosophy at the high school level. Not meaning to step on any toes, but that is just a mediocre way to look at things. The bigger goals need to be teaching students HOW to do something, WHY to do something, and checking to be sure they understand. And the way to do this is not to drill students, and certainly not rote memorization. I’ve seen too many students come through my tutoring center who are able to work problems, and get the right answer, but they have no idea what they are doing and if you gave them a real world example (Begrudgingly known as “word problems” among the student population), they will be lost and confused. Even though the “math” they are doing is exactly the same in both situations.

So I encourage you, as you approach your next exam in math, make sure your students understand the concepts behind what they are doing. If you have to let them re-take the test and correct their mistakes, great! That is a learning process. Don’t be afraid to take the time to learn well the first time. Everyone will be grateful for your efforts–and better educated— in the end.

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You Can Call AskDrCallahan

You can call us now. We still think Homework Help is best done over email, but for those questions that just make more sense to call us, you can!

205-790-2617

Monday through Friday  8 a.m. to 5 p.m.

Soon we will be unveiling our toll-free number, but in the meantime, you can reach us at the above number. Look forward to talking with you!

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More than a distributor, we have our own curriculum

AskDrCallahan lists itself as offering a “curriculum” because we are not simply a distributor of Harold Jacobs’ material. We have used his textbooks in a couple of our courses, but what we do at AskDrCallahan is we take a textbook and we build a course around it.

What this means is that we have taken the textbook and we assign homework, assign certain weeks in which to complete that homework, as well as make up our own test, test grading guide, teachers guide, and several other materials that we provide for you to use.

In this way, AskDrCallahan is a curriculum (with our own method for teaching) as opposed to just a distributor.

If you have questions about our products, or need any clarification, you can reach us at support@askdrcallahan.com

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What is a composition function?

A Composition function is just one function inserted as the “x” of another function.

Typically the notation for a composition function will look like this:

But you can also write a composition function like this:

or this:

and it means the same thing. Everywhere you see an “x” in the f(x) equation, instead of inserting a single number for that x, you are now going to insert the entire g(x) equation.

To Watch a Video of  an example composition function worked out, click here.

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Should I give Open Book Tests?

If you are one of the many home schooling families using the AskDrCallahan math curriculum, you already know that we teach with college and life preparation in mind. So it might come as a surprise that we typically recommend parents give students open book and open notes tests.

When students sit down to take a math test, they either know the math, or they don’t. Having access to the textbook is not going to change their comprehension of the material. They THINK it will, but often that just is not the case.

We recommend open book/open notes because part of knowing how to do math is being able to figure it out using the information given. It has been our experience that open book tests are often more challenging than closed book tests because it ultimately comes down to “you either know how to do it or you don’t.”

Compare to Homework

When we make up our tests, we choose problems from the chapter review section that demonstrate the key concepts from the chapter and we assign them as tests. This approach is similar to picking homework problems for students to work. And if you think about what happens when students work their homework problems, they almost never get 100% of their homework correct and they have the book and their notes then as well.

Using the open book format strengthens students reasoning skills and teaches them to think about what they are doing, why the are doing it, and to dig in and give it a try even if they don’t know all of the answers. They will need to memorize some things, but rote memorization and endless math problems is not the way to excel in this subject. So give open book/open notes a try. Your students will like it, and they will learn more too!

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Now Taking Registration For Fall Math Classes

AskDrCallahan will be offering Algebra 1, Algebra II With Trig, and Geometry as cooperative and online classes this Fall to all home schooling students.


Mrs. Cassidy Cash will be teaching Algebra 1, Algebra II With Trig, and Geometry this Fall. Famous for introducing random facts, teaching with hands-on activities, and getting students out of the classroom and into the real world when teaching math. Armed with 5+ years of education experience teaching in the homeschool and private school arenas, plus 8+ years experience as a math tutor to all ages, Cassidy goes out of her way to make learning math–even college level math–a great experience. Using the AskDrCallahan college level textbooks and dvd material is just the beginning with this course. Cassidy integrates homework and example problems with subjects students already enjoy by starting the class with a survey of what they like, then she spends the rest of the year trying to use those subjects as jumping off points for teaching the math concepts. From horses and NASA to movie production, art, and music, this class teaches math like you’ve never seen before. Your students will get a great college level education and have fun doing it.

For Start Dates and Pricing, click here.

To Register for Algebra 1 Click Here

To Register For Geometry Click Here

To Register for Algebra II With Trig Click Here.


Please note: All AskDrCallahan Cooperative Classes will charge a $30 registration fee to sign up
.

Classes have a 5 student minimum to make. If a class does not make, your registration will be refunded.

Registration holds your spot in the class and lets us know how many people to plan for when notifying the facilities of our classes.

If you have any Questions, please Contact Cassidy Cash at support@askdrcallahan.com. She will be glad to answer any questions you might have about these and other courses the cooperative will be offering.

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Lost Syllabus for Homeschool Math Course

The syllabus for all our homeschool math courses comes both inside the course kit as a part of the hard copy, spiral bound Teachers Guide. It also comes in pdf form on the cdrom disk that is the first disk of the DVD set.

However, if you lose either (or both) of these resources, you have options. The syllabus for all our homeschool math courses are listed on their description page of the main website, as well as on the Homework Help website. At any time, you may go to one or both of these websites to download and print not only another copy of the syllabus, but a copy of the Teachers Guide, activities, and other materials. Find the course you’re taking below, and click on their links to see what I mean.

Algebra

  • Main Description Page Algebra
  • Homework Help Algebra

Geometry

  • Main Description Page Geometry
  • Homework Help Geometry

Algebra 2 With Trig

  • Main Description Page Algebra 2 Trig
  • Homework Help Algebra 2 Trig

Calculus 1

  • Main Description Page Calculus 1
  • Homework Help Calculus 1

Calculus 2 students, fear not! Your syllabus is available as well. Click Here.

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Free & Easy Supplemental Material for Homeschoolers

When you are homeschooling, you have the advantage of being able to take things at your own pace. You also have the advantage of being able to beef-up your homeschool curriculum if your student would benefit from that addition. Regardless of your reasons, and there are many, for searching out supplemental material,  it makes it even better when we find extra material free and easy.

The easiest way to get good, free, supplemental material is go to your internet search engine and type in “Algebra worksheets printable” or even just “algebra worksheets”. You might add “Algebra worksheets free”. Obviously, if you’re searching for another subject worksheets, you replace ‘Algebra’ with the subject of your choice. Similarly, if you want activities instead of worksheets, change that as well. This kind of searching will bring up several options. Just like anything else online,  some of the options presented will be good and others will be horrible, while still others will fit into the mediocre category. So you have to read what your using. Don’t assume that just because they say “free” that it is a good resource. Also, as you already know: students need parental supervision when online, and I highly recommend doing this kind of searching for your students and bringing them the good material after you’ve found it for them.

So when you’re searching online, what is important to look for? How do you weed through all your options?

Well, here are some criteria you can use to decide:

  • Does the concept listed match what your student is covering? (you can compare chapter titles to worksheet titles if you’re unsure)
  • Does the worksheet list the answers? (If you are a math whiz, maybe you don’t need answers provided, but many people find an answer key helpful, so be sure to check for that if you think you’d like one)
  • Are they free?
  • Are they printable?
  • Do I have to sign up for a program? (Beware here. It is not necessary to sign up for a program to get good material. While you may have to do a little more searching, there is a ton of good stuff is out there for free.)
  • Does the worksheet have enough problems to really be helpful? It is supplemental material, after all, so you want to look for worksheets
  • Does the worksheet difficulty level math my son/daughters level in the subject? (many worksheets will have a grade level indicator, but beyond that you can compare the worksheet to the homework problems in your book. If the subject matter is similar, you’re probably good)
  • Don’t be afraid of worksheets that broaden the horizon. If a history worksheet, for example, goes beyond the lesson and strict short answer problems to instead give a link to a video presentation on a history lesson, that’s ok. Alternate forms of learning are often good for students. While certain levels of caution from a strict parenting standpoint are obviously encouraged, don’t be afraid to use “nontraditional” learning tools.
  • Lastly, does the worksheet meet with the standards you have as a parent? It does not matter if all the credentials in the world stand behind this learning worksheet. If you are not comfortable with the learning style, throw it out. There are too many options to settle for less than what you consider the best.

If you are not a search engine guru, or even if you just would like to spend less time online and more time in the classroom–check out our Homework Help page. We have many Resources listed on our Resources page (And we add to it all the time) that you can check out. Links to worksheets, activities, videos, an online equation editor, and more.

Did you find a good resource that you liked? If so, share it with us.

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Algebra: Optional Lessons?

Chapter 16 and 17 in the AskDrCallahan homeschool Algebra course are considered optional. We consider these algebra lessons optional because chapter 16 covers inequalities which is material you will see again in later courses (see in the immediately following course if you’re using our typical math sequence) and then Chapter 17 covers number sequences, which is material you will never see again unless you choose an extremely technical (and rare) study option. Even if you are this rare student, you reach this technical level at college, and they teach you this concept from the ground up. Both chapters contain good math material, so feel free to use them, but you do not have to cover them at the Algebra 1 level.

Also, you should note that you are still getting an excellent Algebra course without those chapters, and you are not hurting yourself if you choose to use them. They are not more advanced than an Algebra 1 student can handle, they are —just as they are labeled—optional. Good if you want to use them, but you don’t have to.

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