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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1d:Tc59,どうも！
リンクです！
いや〜わかります！
入試レベルの問題を解けるようになるのか？
イメージが湧かないと不安になりますよね。

まずは数学からお答えします。
結論、
入試本番も、解法は見えないまま！
です。

そもそも、問題の最後まで解法が思い付くのは、ベネッセ模試の問題のレベルまでです。
特に東大入試では、今まで見たことない問題が、当然のように出てきます。

しかし、不安に思う必要はありません。
半分ちょっと解ければ合格点です。

そして、これが重要なのですが、
入試数学の問題は、
「ジェンガを崩すように解く！」
のです。

数学できる人だって初めから解法が見えているわけではありません。

では、どうやって解法を思い付くのか。
答えは、「実験をすること」です。

1対1やプラチカをやって貰えば良くわかると思うのですが、難しい問題ほど、まず実験してみます。

適当な値を代入したり、
偶奇で場合わけしたり、
とりま変形したり、、、

すると、
規則性が見えてきたり、
答えとなる数の範囲が絞れてきたり、
なんらかヒントが見つかります。

これが、ジェンガ崩しです。

入試数学は、思ったよりも地味です。
一つ一つジェンガを取り除くような
作業の連続です。
しかしこれこそが、数学的思考と言われる物です。(たぶん)

青チャートの典型解法を知ってることは
ある種前提みたいな物なので、やって損はないです。
青チャだけで半分くらい狙えますが、
ジェンガ崩し的な思考法を身に付けたいなら、プラチカがおすすめです。
ぜひ頑張ってください。


英語は、一段ずつ長文の問題集を登りましょう。

僕は高校で問題集が配られたので、それをやってました。
今思えば、ちょうど難易度が一段ずつ上がり、イイ感じの手応えと苦しさを感じることができました。
それが良かったかなと思います。

単語や文法が固まると、
急に3段くらい飛ばせます。
ただ、固まるまでは、なかなか伸びない日々が続くと思います。
長文中に2、3個わからない単語があるだけで、設問が解けなかったりしますから。


まとめ
今やってる勉強で本番解けるようになるのか？
疑問に思うことは素晴らしいですし、
これからも常に考え続けて欲しいです。

問題を解く時、
やってることは結構地味な作業の
連続です。
模範解答を見れば、鮮やかだなーと思うかもしれません。
しかし、その解答ができる前に、
「当てずっぽうな実験」という下ごしらえ
がきっとあるはずです。

めげずにやり続けて欲しいなと思います。
やることは間違ってないので。
あとはやり方にこだわれるとなお良いです。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=zvtDbWkBTqPwDZPuuiZW","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"東大の発想力について"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",6,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"3/11 14:59"}]]}],["$","div",null,{"className":"coach-mark 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"早稲田大学（理系）合格への道のり"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"数学の苦手克服について話しますね！\n\n数学は英語や社会に比べて覚えることが少なく、\n考えることが多いから難しい。\nどうやって考えたら良いかわからない\nといった相談をよく見かけます。\n\nこれは半分合っていて、半分間違っている認識だと思います。\n実は数学はある程度、暗記科目である一面があります。\n\n例えば、典型的な問題の解き方や考え方を理解していないと、類題は解けないと思います。\n\nなので、これらの基本問題はある意味では覚えるべき問題、暗記すべき問題と捉えることができます。\n\nただし、ここで言う暗記とは\n丸暗記ではなく、理解を伴った暗記であることに注意してください！\n\nこれらの基本問題の考え方を初見の問題に応用する問題が真に考える問題、つまり応用問題です。\n\nしたがって、数学が苦手だと思う方はまずある程度基本問題を暗記しましょう！\n\nその際は\n問題を解く\n↓\n解説を読む\n↓\n解答解説を見ずに再度解答を自分で作成する\n\nの3ステップを意識して問題演習してみてください！\n\n注意すべきことは\n解答解説を見ずに再現できた問題についてですが\n1週間後に再度再現できるかチェックするようにしましょう！\n\nこれを繰り返すことで\n1度理解した問題も間違えずに解くことができるようになるはずです！\nファイト！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学の勉強法"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"はじめまして！東京大学理科一類の者です。\n\n数学に悩んでいると言うことなので、数学の勉強方法をご紹介させてください！\n\nまず基礎的な話として、各項目の公式、定理を洗い出してみてください。次には、その公式や定理の証明や導出が行えるのかと言うことを考えてみてください。証明や導出は教科書やネットにのっていますので、確認したい場合は使用してください。公式や定理の証明や導出を行えるようにすることで、どの定理と定理が密接に関係しているのかやその式の本質的な意味が理解できるようになるはずです。\n\n例えばですが、余弦定理の証明をしようとしたときに、三平方の定理を使用することになると思います。ではその三平方の定理を証明できるか？と言った具合に、どの定理にどの定理が絡んでいるかを確認することができます。また定義と定理の違いを再認識できるはずです。（結構重要）\n\n次に問題集の使用方法ですが初見の問題を解いた後、自力で解くことのできた問題も含めて、解答で使用している計算操作に対して、「なぜその操作を選択したのか（どんな結果をみたい・得たいからその操作をしたのか）」という根拠を持っておくことが大切です。\nこの訓練を常時意識して取り組むことで、難問にぶつかったとしても闇雲に手を動かすのではなく、最速で私的にその問題を切り崩していくことが可能になるはずです。\nどのような難問でも基本的には、基本問題の絡み合いなので、「どの基本問題が組み合わさってこの問題は構成されているのだろう？」ということを意識するのがいいかと思われます！\n\n参考書の復習の際は、すべての問題を再度手を動かして解く必要はありません。再度手を動かして解く必要があるのは、その問題を読んである程度の時間が経っても解法が浮かばない場合です。この場合の解法とは、計算のことではなく先ほど述べた基本問題への分解ができるかという意味です。\n解法が浮かんだ場合は、実際に解答と照らし合わせてみる程度で大丈夫だと思います。\n\n\n以上が私のおすすめの数学の勉強法になります。\n\n以前解けるようになったはずの問題が時間が経てば解けなくなっているとのことだったので、本質的な理解につながるような勉強方法をご紹介しました。\n\n是非参考にしてください！\n"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学の思考力"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"結論から言うと、数学の問題の解法は自分で手を動かして探していくものです。大学入試の問題を解いていくなかで、問題をパッと見ただけで解法が思いつくということはあまりないです。\n\n例えば、図形の問題だったら図を描いてみたり補助線を引いてみたり、nなどの定数が出てくるような問題だったら試しにn=1などとおいてみたり、…といった感じで自分で手を動かしながらだと、「あ、ここから解けそうかも」と解法が見えやすくなります。\n\nさらに言うと、問題をたくさん解いていくうちに、「こういう問題のときはこうする」みたいな定石のようなものが身に付いてくると思います。\n\n例えば、2次関数の問題が出てきたらまず平方完成してみたりしますよね。それと同じで、図形問題が出たら、座標に置き換えるかベクトル(まだ習ってなかったらすみません)を使うか考える、とか、整数問題が出たら余りを考えることが多い、とか、勉強を進めていくにつれてある程度やることは決まってきます。\n\n大学入試の問題は、意外と普通の解き方で解けるような問題がほとんどです。「え、そんな解き方があるの？」みたいなひらめき100%の問題はめったにありません。それに奇抜な解法を要求するような問題はみんなも解けないので安心してください(笑)。\n\n問題集で詰まってしまったら、まず解答をみましょう。「意外と普通の解法だったな」と思ったら、もう一度何もみないで解き直してみる。「こんな解法初めてみた」という問題はまず一旦解答を写してみて、何をやっているのか理解する。と勉強するといいと思います！\n\nまだ習っていない範囲も残っていると思いますが、勉強頑張ってください！"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"京大理系数学の伸ばし方"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"ゆるセイさん、初めまして！\n\n\n手が全く付けられない問題をずっと考えようとしても、考えが進まず思考力が得られている実感がないですよね。\n\n\n実際基礎ができていない状態で応用問題なんかをずっと考えてもあまり意味がないのかなと思います。\nここで言う基礎というのは、ある問題を見た際に分野ごとに分類でき、解法が何通りかすぐに思い浮かぶことです。\n\n京大の数学は1から自分で方針を作って最後まで持っていく力が必要になってくるので、難しい問題を解くときの最初の考え方としては、\n\nこのような問題なら使えそうな解法がα、β、γの３通りあり、いくつか実験してみてαとβはダメそうで、γがいけそうだからこれで一旦解いてみる\n\nというように方針づくりが必要になってきます。\n\n\n最初になんとなく思いつく解法がたくさんあればあるほど、どの解法が使えそうかじっくり考えることができ、その過程で思考力が身につくのだと思います。\n\nなので、ノートなどにチャート式で解法をまとめたりするのもオススメです。\nまた、私は世界一分かりやすい京大理系数学という参考書をこの時期に利用していました。分野ごとに実際の過去問を例題として解説が詳しく書いてあり、方針作りを勉強するには便利でした。\n\n\n\n取れる問題を見極める力も上で書いた方針づくりに関係してきます。問題を見た際にいくつか方針が立つものから手をつけるということなので、基礎が固まっていないと難しいです。\n\n\n\n長くなってしまいましたが、参考になれば幸いです☺️\n"}],["$","div",null,{"className":"flex 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