Over the course of my teaching and learning career (I am correctly classified as a lifetime learner!), I have significantly enjoyed the question regarding when/how will I ever use Algebra. Of course the question is rhetorical as no one will ever ask you about a co-efficient in the parking lot or the process of distribution…..instead, life ( or at least a life filled with self efficacy) will expect you to be able to use these concepts at various times.
I write this blog as a career changer (pharmacy tech), health care for all advocate (just got zapped with $10K from Anthem/Blue Cross and I am HEALTHY – the bill is just to ‘prove’ my health) and America watching elected people debate a debt ceiling (the news has actually had to explain the issue to American Citizens), all issues which use Algebra and other math to think through with some degree of clarity.
To start, I will explain self efficacy. First off self has to do with the person you see in the mirror as opposed to other people you see with your eyes.
People with a high self-efficacy are generally of the opinion that they are in control of their own lives; that their own actions and decisions shape their lives. Albert Bandura as quoted in http://en.wikipedia.org/wiki/Self-efficacy
Self efficacy is an idea put forth by psychologists which assumes you wish to learn (know) information about the issues which impact your life and the choices/decisions you make which impact your life. This means knowledge is indeed power – knowledge allows you to transform your own life by understanding information and making better decisions (or at minimum, making decisions you feel confident about). So, Algebra is a manner of thinking logically and an approach to understand various numerical processes.
Algebra allows you to understand (and start to ask better questions) regarding the medication doses and timing of doses you take when you are ill. There is actually a methodology to why antibiotics are given at certain scheduled times in specific amounts. There is also a reasoning as to the intervals of chemotherapy for cancer. These doses and intervals are based on research performed by scientists and doctors who passionately believe in promoting health. The doses and intervals can be altered for the right reason……….which means if the patient has the ability to think about doses and intervals related to side effects (nausea as an example), doctors will often work with them to maintain their health and get through the side effects. Not all cancer patients choose to have chemotherapy. Yes, amazingly, chemotherapy is a choice and a very personal one. It is an issue of quality of life and length of life – both of which can be better approximated and understood via math.
Another example of Algebra and health has to do with the choice of eating well (healthy) and having reasonable amounts of exercise or taking a medicine to, for example, reduce cholesterol. It is known within medicine that after a patient takes five to seven medicines simultaneously, the various effects can and often are counter productive to ‘maintaining health’ and ‘sustaining life’. This relationship is because each medicine we take has various effects on one or more body systems. This is WHY your pharmacist always wants to know all of what you are taking, even if it is prescribed by various different doctors.
The above paragraph relates to health care for all. Most of the money spent on health care is not for disease states which can be cured, but most which can be brought into a state of remission- OR conversely, avoided in the first place from leading a healthy life. Aside from antibiotics, there are very few ‘cures’ out there.
Remission is the state of absence of disease activity in patients known to have incurable chronic illness. http://en.wikipedia.org/wiki/Remission_(medicine)#Remission
A person with knowledge is able to make a better decision regarding how they are medically treated (or not in the case of DNR’s) and in what circumstances, conditions they desire to live. Some people actually believe having mental capacity is reason to avoid medications which may diminish their thinking capacity even if it means they have to give up something else in their life. These concepts are called choices and can be made by people with an understanding of how their choices will affect their lives. Doctors and pharmacists take an oath to do no harm – they do not take an oath on how you choose to live your life when you are in a disease state. A great doctor and/or pharmacist will explain options to you and let you make the decision about YOU (unless you are unconscious in the ER and then they do everything humanly possible to keep you alive). All of the various options and choices actually have percentages or estimates of success and knowing Algebra allows you to interpret what these numbers mean when you are told.
Most interesting of all is that which is well known in medicine – it is by far cheaper and cost effective to PREVENT the problem than to treat it after it happens. This is akin to why one warms up before exercising. This gets right back to health care for all. It is more cost effective for one to live a healthy life from the get go than to have to deal with obesity, diabetes, etc. when one does not eat and exercise. Again, a modest amount of Algebra is necessary to understand calories (protein, carbohydrates and fats) and how to make better food choices to promote ones own health.
If all of the above has not already provided some ideas as to why Algebra is important, let me add the debt ceiling debate. We as the American populace voted in our congressional representatives. We as voters created a divided congress as the house and senate are configured in numbers by who(m) is voted into the position. The numbers alone of Democrats and Republicans demonstrate an imbalance so it is no wonder the debt ceiling caused a great debate. As the populous, it is up to us to vote in more mid-range politicians to cut down on the level of disparity between extremes. Not only is this Algebra, it is basic statistics. We got the government we deserve by voting them in – for good or for ill. Many may think math plays a too subtle role in what I stated in this paragraph, they just have not read enough by Malcolm Gladwell.
If the above is not enough to convince you that getting a good dosing of Algebra by Grade 8 is beyond important, just think about what you know (or don’t know) about debt and why we even have a debt ceiling.
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