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1c:T16e1,⑴　数学を学ぶことの目的は何か
　およそ勉強をするにあたって、今自らが学びつつある学問が目的としているものが一体何であるのかを明確にすることは、いかなる内容の学習の際にも必要となる基本中の基本事項です。というのも、それがわからなければ、教えられることや教科書に書いてあることを暗記するよりほかに学習のしようがなく、結局いつまでたってもその学問について理解できる段階には至らないのは当然だからです（この勉強における目的意識の重要性については、末弘厳太郎先生の著書を読んだときに大いに感銘をうけた部分であり、私の勉強観の根幹を成しています）。
　ことに高校数学に至っては、その目的は「数学的に思考する力の涵養」であると言えましょう。微分や積分、指数対数、三角関数など、日常生活でこれらの知識が生きることはまず少ないでしょうし、ともすると、それらをはじめ数学的な知識の習得が目的としてあるとは考えにくい。にもかかわらず、数学において数学的な知識を習得させられるという実態を考慮すると、数学的な知識を習得することは目的ではなく手段であり、真なる目的は、与えられた問題をそれを使っていかに解決していくかという段階にあり、すなわち、数学的に物事を考えて問題の解決に取り組むその能力を養うことにあると考えられます。模試などの記述問題でも、解答部分よりもそれを導き出すまでの過程を重視して採点されることと思いますが、それもこのことを証左しているのではないでしょうか。
　では、数学的に物事を考えるとはどういうことをいうのかと問えば、（私は専門家ではないので適切な答えであるかどうかは定かではありませんが）それは恐らく、その場に適切な規則、原理（いわゆる定理や公式）をうまく活用して問題の解決を図ることだ、と考えられるでしょう。この点で数学は、事実を基にその場その場に適当な法理を見出し、それを使って問題の解決を図る法律学と似通っている部分があると思います。ただ、両者を決定的に異なるものたらしめる点は何かというと、裁判官による法理の解釈によって結論に一定の幅が出る法律学に対し、数学の規則は常に客観的に不変であるということ。これが、かえって数学における問題解決を簡単にする場合があるということです。

⑵高校数学の学習態度
　脱線が過ぎました。このように考えてみると、公式や定理を理解し、頭に入れることは単なる手段であり、実際にこれを活用できなければ意味がないということがわかるはずです。したがって、数学学習で最初に努めるべきは、公式・定理の理解です。数学Ⅱ、数学Ａ、数学Ｂをこれから先取りで学習しようと考えていらっしゃるようですが、これらに限らず、現在学んでいる数学Ⅰについても基本は一緒です。まずは教科書に出てくる公式や定理を理解することを心がけるとよいと思います。教科書にはそれらの証明、すなわちなぜその定理・公式が成り立つのかについても書かれていると思いますので、自分で証明でき、また人にそれを説明できるほどになれば立派なものです。
　単純に暗記するだけでは危険です。受験勉強ではとかく効率が求められがちですが、そうやって小さな部分を見落としても、本番でそれが問われて見事に足をすくわれるなんてことはざらにあります。いつしかの東大ではsinθとcosθの定義と加法定理の証明が、いつしかの阪大では点と直線の距離を求める公式の証明が出題されています。定理や公式を真に理解していれば、いずれも貴重な得点源となってライバルたちを出し抜くことも成し遂げえただろう問題です。こういった問題は、いつどこで出題されるか分かりません。

⑶問題演習の取り組み方
　さて、公式・定理を頭に入れるためには、同時にそれを正しく使える力も養う必要があります。上述したように、高校数学の目的は「数学的な思考能力の涵養」であり、いくら公式や定理を頭に入れてもそれを正しく使えなければ問題解決は難しくなります。なので、同時に問題演習にも取り組みましょう。最初は教科書に載っている基本例題から、だんだんと練習問題、章末問題、そして問題集の応用問題へと段階を踏んでいきます。問題演習を通じて、どういったところでどんな規則がどのように使えるのか、またなぜそのように使えるのかということを自分自身で見極めることを心がければ、複雑な問題にも対応できるだけの発展的な思考はおのずと身についていきます。

⑷問題集
　チャートについては、使ったことがないので色と難易度の関係などよくわかりませんが、高校1年生の初期から使うくらいですから、Focus GoldやNew Action（名前はうろ覚え）などと同じようなものだとしておきます。私の高校では、日々の課題は教科書や学校の問題集（4STEP）、長期休暇の課題として2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=8pAgJmEBEoAxXtWxgGHW","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"数学の発展問題が解ける為には？"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",8,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"1/24 12:05"}]]}],["$","div",null,{"className":"coach-mark mb-4","children":"UniLink利用者の80%以上は、難関大学を志望する受験生です。これまでのデータから、偏差値の高いユーザーほど毎日UniLinkアプリを起動することが分かっています。"}],["$","div",null,{"className":"mb-4","children":["$","$L13",null,{"clientImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_sqPvJgsX93MfMruX.jpg?alt=media&token=e3363b34-e312-4b6f-9d72-88ff52903985","clientUserName":"sepa721","infoString":"高1 神奈川県 一橋大学商学部(68)志望","adviceId":"8pAgJmEBEoAxXtWxgGHW"}]}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap","children":[["$","div","consultation-part-0",{"children":[null,"高校1年生です。\n数1Aの発展問題が解けません。\n学校のテストは基本8割取れてますが、教科書に載っているものをただ覚えたくらいです。\n具体的に、どの様な勉強法であれば、発展問題を解けるようになりますか？"]}]]}],["$","div",null,{"className":"pt-4","children":["$","$L14",null,{}]}],null]}],["$","h1",null,{"className":"text-xl font-semibold 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mb-4","children":[["$","div","advice-part-0",{"children":[null,"まず、教科書に載っている公式を自分で理解することから始めましょう。導出することができれば最高です。\n数学は発展問題になればなるほど、基礎の基礎が分かってないと解けません。公式を理解するのは、将来一つの問題を見た時に複数の解法が思いつくようになるためです。\n頑張ってくださいね！"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_epCFAuQ6MLLlOkJp.jpg?alt=media&token=a28a5a90-8a1d-4440-9e5e-4718be2636bb","adviserName":"はやしん","adviserDepartment":"京都大学教育学部","adviceId":"8pAgJmEBEoAxXtWxgGHW","numberOfFan":294,"clipsAvg":10.376623376623376,"adviceRateAvg":4.390243902439025,"profile":"京都大学教育学部3回生です。\n高二の冬に京都大学に心理をしっかり学べる学部があると知り、志望校を大幅に変更し、一浪して入学しました。\n暗記が苦手で、数学や理科が得意だったので、現役時も浪人時も理系入試を受けました。\nセンターは地理、物化選択、2次は化学を選択しました。\n元々成績がよかった方ではなかったため、成績をどのようにしてあげればいいのか、悪い成績にどう向き合うのがいいのか、メンタルのもち方、などをアドバイス出来ればいいなと思っています！"}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学の基礎が身についていない"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"はじめまして！\n\n高1の時点で、数学の基礎が身についていないという事に気付いている時点で、受験生として一歩前に進んでいると言えますね、素晴らしいです！いくつかアドバイスさせていただきたいと思います。\n\nまず、中学の復習は基本的にはしなくていいと思います。中学と高校ではやる内容やレベルが全然違いますからね。ただ、二次関数や図形の証明などは高校でも非常に重要な分野ですので、その範囲が苦手なら少し見直してみてもいいかもしれませんね。\n\nそれでは見直しの方法ですが、学校の定期試験や模試等で成績が悪かったり、自分で苦手だな嫌いだなと思う分野があれば、見直しが必要でしょう。高1で苦手なところがあるなら、おそらくそれは1回学習したが理解できなかったという事でしょう。一度教科書を読み直し、チャートなどを解き直してみましょう。問題を解くうちに理解することもあるので、教科書ばかり読んでいてもいけません。手を動かして考えてみましょう。\nしかし、今は学校での数学で手一杯でしょうから、見直しは夏休みで問題ないでしょう。まだ高1ですので焦る必要はありません。それより、今から習うことをしっかり理解することの方が先決ですよ。分からないことがあれば、先生や勉強ができる友達、またはここで聞くのもありですから、うやむやにしないようにしましょう。\n\n高1から意識高くやっていれば高3に大きく他と差をつけられると思います。頑張って下さいね！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 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