I would leave out discussion of impedances at this point, it will confuse new students. Just focus on resistances. Then, later we can hammer home that "oh? Remember that thing we learned for resistors? Well, now we're going to show you how anything can be treated like a resistor". Specific before general, concrete before abstract.
You include an example with an arbitrary number of resistors in series as the first example. I would change this to just two resistors of some definitel value (1Ohm and 3Ohms for example) in series (specific before general, concrete before abstract), and then generalize to any number of resistors in series.
Same comment as above with parallel impedances. Specific before general, concrete before abstract. A couple of examples followed by the general principle would really nail this.
I wouldn't introduce the || symbol as an "abstract mathematical operator". I'd just say that "we write parallel this way, see it's got two cute little lines". Operators aren't something most people see
and use and are comfortable with unless they deal heavily with linear algebra or QM.
I would leave out discussion of impedances at this point, it will confuse new students. Just focus on resistances. Then, later we can hammer home that "oh? Remember that thing we learned for resistors? Well, now we're going to show you how anything can be treated like a resistor". Specific before general, concrete before abstract.
You include an example with an arbitrary number of resistors in series as the first example. I would change this to just two resistors of some definitel value (1Ohm and 3Ohms for example) in series (specific before general, concrete before abstract), and then generalize to any number of resistors in series.
Same comment as above with parallel impedances. Specific before general, concrete before abstract. A couple of examples followed by the general principle would really nail this.
I wouldn't introduce the || symbol as an "abstract mathematical operator". I'd just say that "we write parallel this way, see it's got two cute little lines". Operators aren't something most people see and use and are comfortable with unless they deal heavily with linear algebra or QM.