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こうすれば時間がかかったりすることもなく途中で投げ出したりすることもなくなるというものを見つけたのですが、このやり方でも数学の力はつきますか？また実際にこのやり方でやっていた方はいますか？回答お願い致します"}],["$","link","4",{"rel":"icon","href":"/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","5",{"rel":"icon","href":"/icon.png?2c0dc65a59843333","type":"image/png","sizes":"180x180"}],["$","link","6",{"rel":"apple-touch-icon","href":"/apple-icon.png?2c0dc65a59843333","type":"image/png","sizes":"180x180"}],["$","meta","7",{"name":"next-size-adjust"}]] 1:null 13:I[3903,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],"ClientInfo"] 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1a:I[6549,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],"CommentItemName"] 1b:I[3866,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],"AdOnAdviceList1"] 1c:T1821,こんにちは 僕自身は高1〜2のうちはなんとなく感覚で数学を解いており、範囲の狭い定期テストや基礎中心の間はなんとかなったのですが、高3になって演習や応用を始めてから、数学が周りよりできなくなってしまいました。 ですので、数学ができる人ではなくできない人からのアドバイスだと思ってください。 もちろん周りの数学のできる友人を見ていて気付いたこともお伝えしますが、数学できる人のアドバイスを求めていた場合はお役に立てないかもしれません。 申し訳ありません。 まず、数学のインプットの仕方ですが、これは質の高い例題を解いてその解説を読んだり受けたりして、さらにそれを復習して自分のものにするというのが良い形かなと思います。 質の高い例題というのは、参考書でも学校の授業でも塾などなんでも良いですが、各分野の典型的な問題をさしています。 これをまずは自力で解くのが大切です。 難しい問題は手も足も出ないかもしれませんが、自分の思考回路を知ることでインプットしやすくなると思います。 自分に何が足りないのか、逆にどこまでは理解しているのかをまずは知りましょう。 次に解説ですが、これに関しても参考書を読んでも他の人や先生にお願いしても良いですが、問題の解答ではなく、どういう思考でその解答に至ったかを特に見てください。 数学は暗記科目ではないと言われますが、ある程度定石があってそれを問題に当てはめ応用していくものなのかなと個人的には思っています。 その定石を解説を通じて自分でおさえてください。 僕は数学が苦手だったので定石を覚えてしまって、これは◯◯の問題だから◯通りの解法があって、今回はこれかな？というふうに解いていました。 もちろん、本来は例題の類題や同じ分野の問題をこなすことで定石を身につけると良いと思います。 高2のうちは特にいわゆる問題集をやったほうが良いです。 僕が数学が苦手だったのは高2までで全然問題集をやらず例題だけやっていたからでした。 例題と似た典型問題は解けるので、定期テストや簡単な模試は解けるのですが、高3になり実際の入試問題やちょっと捻った問題を解くとダメという感じでした。 そのため、高2のうちになるべく多く問題に触れておくと良いと思います。 高3になると余計に他の教科に力を入れなくてはいけなくなると思います。 そのためにもなるべく高2のうちに英数は完成させておきたいところです。 もちろん数学が苦手でしたら高3でもある程度力をいれる必要がありますが、たくさん問題を解けるのは高2までかなと思います。 少し話がそれましたが、問題集などの問題を解くときについて書きます。 問題を多くやる理由は見たことある問題を増やすという意味と定石をどう運用するかを身につけるという意味があります。 見たことある問題が増えれば、初見の問題に対してあの時の解法を試してみよう！と思える機会が増えるでしょう。 また、問題演習をこなす中でインプットした定石を自分のものにできると良いと思います。 次に、苦手意識に関して。 これについては成功体験を積むのが一番かなと思います。 といってもなかなか難しいですよね。 僕が問題演習をサボっていたのはどうせ解けないだろという気持ちがあったからでした。 でも今思えば、数学が苦手なのだから一周目でできるなんて思ったのがだめでした。 結局入試で解ければ良いのだから一周目で解けなくても、二周三周してでも自力で解き切れば良かったとお思います。 そうすれば自分の力にもなるし、何より解ける問題が多くなれば数学への苦手意識も改善したと思います。 中々すぐには数学への気持ちは変わらないと思いますが、好きこそものの上手なれ、ということでやっぱり数学を好きになるのが成績upの近道だと思います。 理科社会のように暗記した知識ベースではなく、定石という武器をどう使うのかという思考力が試される数学は、難しいですがそこが面白みなのではないでしょうか。(数学苦手だった僕がいうのも変ですが) 中々短期で成績upは難しいかもしれません。。 でもやっていけば必ず伸びる科目ではあります。 ぜひ腐らずに続けていってもらえたらと思います。 緊張で他の教科に影響してしまうことに関しては、もう少し自分に(というか数学に)甘くても良いかなと思います。 数学は苦手なんだからと割り切って、他の科目よりは緩いペースで実力をげていけば良いのではないでしょうか。 高3になってもそうだと思いますが、自分のたてた計画というのは中々完璧には遂行されないものです。 特に苦手科目は後回しにしたり、他教科よりも計画と違ったりすると思います。 もちろん自分を律するのも大切ですが、それで思い詰めてしまうのは他教科にとっても悪影響です。 数学に関してはある程度ゆるい計画を立て、むしろ息抜き的に他教科をやっても良いかもしれません。 めちゃくちゃ長文になってしまいましたが、参考になったら嬉しいです。 また分からないことや疑問点あれば気軽にコメント・質問してください。 では。 1d:T102d,初めまして。rockyyyと申します。 数学の勉強法において、最も重要なことは解法を見ながら理解することであると思っています。一度間違えた問題の解法を完全に理解しないままにしておくと、同じ問題に何度向き合っても解けないままです。なので解けなかった問題に関しては、解説をよく読み、理解することを重要視すると良いと思います。 具体的にどのようなことをすればいいのかというと、僕は解説を最初から最後まで逐一理解しながら読み進めていくことが良いと思います。 例えば、 「ここで、次のように式変形する。」と言ったような文言が出てきた場合、「なんかわからんけど、そう式変形するのね」と考えるのではなく、「なんのためにその式変形をするのか。その式変形でなんの得があるのか」ということを考えるということです。そうすると、「この式変形をすることで、このような操作が可能になるのか！」とか「こう式変形することでこの法則が使えるようになるんだ!」などの発見があるのではないかと思います。それを繰り返して、その問題の解法を完全に理解すると、その問題に対してだけでなく、似たような問題にも同時に対応できるようになると思います。「ここで、この法則を使いたいから、前学んだみたいにこうすることで・・」と言ったような感じで対応できてくるのではないかと思います。僕はそうして学んだ知識をノートに書き留めておき、チラチラ日常的にみるようなことをしていました。 そうすると、実際に数学において、未知の問題(自分が解いたことのない問題)に対しても、その問題を解くための様々な手法を思いつくようになり、それを使って解くことができるようになりました。成績も伸びて、数学がより楽しく、そして勉強が楽しくなったことを覚えています。 なので、数学の問題を解くことにおいて大事なことは、最初は解けなくても良いので解法を読んで、「こうすることでこの解法が使えるのか」ということや「こうすることでこの公式が使えるのか」となることが重要です。それを自分の言葉でノートなどにまとめておくとさらに良いと思います。僕は問題を解いてわからなかったため空いた空白に色ペンで「このようにすることで、この公式を使って問題が解ける」と言ったようなことを書いていました。そして今でもその手法で数学を勉強しています。 そして、話が変わりますが数学において慣れというものも僕は大事であると思っています。ある程度の知識(基本問題を一通り解くなど)を得た場合は、問題集などでひたすら演習を積んで、解説を読んでわからなかった問題に対する解法を学んで自分の言葉でインプットするということを繰り返すと良いのではないかと思います。そうすることで、この「問題見たことある!]となって、自然に解法が浮かんでくるようになると思います。そうなっていくとどんどん問題が解けるようになってくるので、数学が楽しくなり、また勉強するという好循環を引き起こしてくれると思います。 そして、理系においては数学に比重が大きい入試がほとんどなので、入試において優位に立てるようになると思います。最初の方は、まだ知識も足りていないかもしれないので全然解けないかもしれませんが、辛抱強くこうした勉強法を続けていくと、自然に解けるようになってくると思います。良ければ参考にしてください！！受験応援しています！2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=7seUlWUBVTfCb-RZq6XW","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold 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こうすれば時間がかかったりすることもなく途中で投げ出したりすることもなくなる\nというものを見つけたのですが、このやり方でも数学の力はつきますか？また実際にこのやり方でやっていた方はいますか？回答お願い致します"]}]]}],["$","div",null,{"className":"pt-4","children":["$","$L14",null,{}]}],null]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"回答"}],["$","div",null,{"className":"mb-4","children":["$","$L15",null,{"adviserImageUrl":null,"adviserName":"kairi","adviserDepartment":"九州大学理学部","adviceId":"7seUlWUBVTfCb-RZq6XW"}]}],["$","div",null,{"className":"coach-mark mb-4","children":"すべての回答者は、学生証などを使用してUniLinkによって審査された東大・京大・慶應・早稲田・一橋・東工大・旧帝大のいずれかに所属する現役難関大生です。加えて、実際の回答をUniLinkが確認して一定の水準をクリアした合格者だけが登録できる仕組みとなっています。"}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap mb-4","children":[["$","div","advice-part-0",{"children":[null,"付く人と付かない人と分かれますが\n数学が苦手だということなので\n恐らく付かないです。\n\n個人的な意見ですが\n問題を見て閃くよりも\n手を動かしてみて初めて解答の\n道筋が見えることの方が多いです。\n\nとりあえず式変形してみて、、、\nこの定理使ってみて、、、など\nもがいてみた結果この方法なら\nどうやら出来そうだとなるわけです。\n\n数学が苦手な人はこのもがくということを\nできていない人が多いと思うので\n時間はかかりますが手を動かして\n問題を解くことをお勧めします。\n\nまたただの計算問題も\n苦手なうちは手を動かすべきです。\n計算スピードも入試では大事なので。\n\nちなみに解答の指針だけを思い浮かべるやり方は\n超難関大学を目指している人が\n上のもがくことをしたいが為に\nすぐに解ける問題は端折るという\n目的でやってるもので\n大半の受験生はみんな手を使って解いています。\n私も必死に紙に書いていた派です。"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":null,"adviserName":"kairi","adviserDepartment":"九州大学理学部","adviceId":"7seUlWUBVTfCb-RZq6XW","numberOfFan":19,"clipsAvg":32.916666666666664,"adviceRateAvg":4.823529411764706,"profile":"九州大学理学部に所属しています。\n\n"}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink 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23:43"}]]}],["$","div",null,{"className":"text-xs whitespace-pre-wrap","children":"回答ありがとうございます！地道に頑張ります！"}]]}]]}]]}]}],["$","h1",null,{"className":"text-xl font-semibold","children":"よく一緒に読まれている人気の回答"}],["$","div",null,{"className":"mb-8","children":["$","div",null,{"className":"divide-y","children":[["$","div",null,{"children":["$","$L7",null,{"href":"/advice/bBcS5HllJRP9sIkL0WHr","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","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！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 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mb-1","children":"はじめまして！\n\n私が高校生の時にやっていた方法を書こうと思います！\n(公式は覚えていることが前提です)\n\n\n\n1.問題だけを読んで、何も見ずに解いてみる\n\n2.解けなかったら、解答のヒントを読む(ヒントがある場合)(記憶のインプット)\n\n3.ヒントを元にして解いてみる→解けたら問題に丸印をつけておく\n\n4.解けなかった場合、解答をよく読む→バツ印をつけておく(記憶のインプット)\n\n5.解答のポイントと思う部分に線を引いて覚える(記憶のインプット)\n\n6.すぐに、その問題の解答を見ずに解く(記憶のアウトプット)\n\n7.数日後に、印をつけた問題に対してもう一度1~6を試してみる。1で解けたら印を消す。3で解けたらバツ印は丸印に書き換える。(記憶のアウトプット)\n\n8.全ての印が無くなるまで1~7を繰り返す\n\n\n\n数学は暗記科目ではありませんが、記憶力は使います。\n\n記憶の定着には、インプットとアウトプットの両方をやることが大切です。\n\nもちろん解答の丸暗記では、その問題専用の記憶となってしまい、応用ができません。(そんなに記憶力があるならそのメモリには英単語等を入れましょう！)(もちろん、公式は覚えましょう！)\n\n数学で記憶力を使う場面は5の解答のポイントを覚えることです。\n大切な部分をかいつまんで覚える方が覚える量も減るし、ポイントの組み合わせ方次第でほかの問題や応用問題にも活用できます！\n\n人によってポイントと思う部分は違いますが、例えば絶対値と整数が等式で結ばれた方程式を解く際は、両辺を二乗して解きますね。この場合、「絶対値の計算では二乗する」ことがポイントです。\n\n\n数学は長期戦なので、なかなか成長が目に見えずらいです。ですが、やった分は必ずいつか結果になるので諦めずにがんばりましょう！！\n\n応援しています。\n\n\n\n\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":"数学の記述力を上げたい！"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"イメージができないという部分について僕が的確な解釈が出来ているかどうかわかりませんが、数学の力の付け方は2パターンに分かれると考えます。\n①問題を見てどういう解き方かだけを考える。\n②時間を気にせずにとにかく満点になる解答を目指す。\nです。前者はセンスがないと思っている(ここでいうセンスとは先天的なものではなく、確率や整数などで解き方のストックが多い人のことを指します)方におすすめです。わかる問題は解答できるが、手も足もでない問題が出ると何もかけないと該当されるならば①のタイプです。とにかく問題数に多く触れて自分の手持ちカードを増やしましょう。高3ということで時間もないかつ他の教科のこともありますので1問につき3分程度でどうやって書くか想定して答えを見る→あってたら飛ばす、間違っていたらその解き方を覚える。これを一橋数学で15年分くらいやればおそらく網羅できます。\n②についてはいつも部分点はとれるが完全な解答を書けないという方向けです。解き方のストックはある程度持っておられますので、最後の仕上げの部分にフォーカスしましょう。ここでは時間はさほど気にしなくて良いです。まずは解を導くことを優先しその後時間をはかりましょう。\n以上が僕のおすすめする文系数学の力の付け方だと考えます。\nご不明な点やわからないところがございましたら聞いてください！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学苦手の文系がテストで高得点を狙うには"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんばんは。\n\n私も数学がずっと嫌いでした。しかし、大学受験では数学が必要だったため向き合わざるを得ず、模試のたびに「わたしって本当にできない」と感じていました。\n\nこれはあくまで私の体験談なので参考程度に聞いていただければと思うのですが、私は数学はある程度暗記科目になると思います。\n例えば、三角比の基本対称式の問題の際(sinθ+cosθの値がわかるとき)、まずはsinθcosθの値を出すんだな、などと方針が頭の中にパッと浮かぶかが大切です。\nたくさんの引き出しがあれば、一つの問題に様々なアプローチができますよね。問題を見た際に、これは3つの方法で攻められるかな、、とまず方針が手を動かすより先に浮かぶようになれば大分数学に対して意識が変わってきた証拠です。\n\nでは、これをするためにはどうしたらよいか。\n良問をひたすら解いて、様々な解法の暗記→もう一度自分で解けるように→暗記\nの繰り返しです。\n私は受験のために予備校の数学の問題集を5周以上はしました。\n\nきょうかさんは学校の試験対策ということですから、その範囲の青チャートで上の方法を試してみてはいかがでしょうか。\nできないうちはとてもしんどいと思います。ですが、必ず力はつきます。\nどうか諦めずに頑張ってくださいね。応援しています。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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